<?xml version="1.0" encoding="utf-8"?>
<InstanceReport xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
  <Version>1.0.0.3</Version>
  <hasSegments>false</hasSegments>
  <ReportName>Legal Proceedings</ReportName>
  <RoundingOption />
  <Columns>
    <Column>
      <LabelColumn>false</LabelColumn>
      <Id>1</Id>
      <Labels>
        <Label Id="1" Label="6 Months Ended" />
        <Label Id="2" Label="Jan. 01, 2010" />
        <Label Id="4" Label="USD / shares" />
      </Labels>
      <CurrencySymbol>$</CurrencySymbol>
      <hasSegments>false</hasSegments>
      <hasScenarios>false</hasScenarios>
      <Segments />
      <Scenarios />
      <Units>
        <Unit>
          <UnitID>Shares</UnitID>
          <UnitType>Standard</UnitType>
          <StandardMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/instance</MeasureSchema>
            <MeasureValue>shares</MeasureValue>
            <MeasureNamespace>xbrli</MeasureNamespace>
          </StandardMeasure>
          <Scale>0</Scale>
        </Unit>
        <Unit>
          <UnitID>USD</UnitID>
          <UnitType>Standard</UnitType>
          <StandardMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/iso4217</MeasureSchema>
            <MeasureValue>USD</MeasureValue>
            <MeasureNamespace>iso4217</MeasureNamespace>
          </StandardMeasure>
          <Scale>0</Scale>
        </Unit>
        <Unit>
          <UnitID>USDEPS</UnitID>
          <UnitType>Divide</UnitType>
          <NumeratorMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/iso4217</MeasureSchema>
            <MeasureValue>USD</MeasureValue>
            <MeasureNamespace>iso4217</MeasureNamespace>
          </NumeratorMeasure>
          <DenominatorMeasure>
            <MeasureSchema>http://www.xbrl.org/2003/instance</MeasureSchema>
            <MeasureValue>shares</MeasureValue>
            <MeasureNamespace>xbrli</MeasureNamespace>
          </DenominatorMeasure>
          <Scale>0</Scale>
        </Unit>
      </Units>
    </Column>
  </Columns>
  <Rows>
    <Row>
      <Id>2</Id>
      <Label>Legal Proceedings [Abstract]</Label>
      <Level>0</Level>
      <ElementName>wdc_LegalProceedingsAbstract</ElementName>
      <ElementPrefix>wdc</ElementPrefix>
      <IsBaseElement>false</IsBaseElement>
      <BalanceType>na</BalanceType>
      <PeriodType>duration</PeriodType>
      <ElementDataType>string</ElementDataType>
      <ShortDefinition>Legal Proceedings.</ShortDefinition>
      <IsReportTitle>false</IsReportTitle>
      <IsSegmentTitle>false</IsSegmentTitle>
      <IsSubReportEnd>false</IsSubReportEnd>
      <IsCalendarTitle>false</IsCalendarTitle>
      <IsTuple>false</IsTuple>
      <IsAbstractGroupTitle>true</IsAbstractGroupTitle>
      <IsBeginningBalance>false</IsBeginningBalance>
      <IsEndingBalance>false</IsEndingBalance>
      <IsEPS>false</IsEPS>
      <Cells>
        <Cell>
          <Id>1</Id>
          <ShowCurrencySymbol>false</ShowCurrencySymbol>
          <IsNumeric>false</IsNumeric>
          <NumericAmount>0</NumericAmount>
          <RoundedNumericAmount>0</RoundedNumericAmount>
          <NonNumbericText />
          <NonNumericTextHeader />
          <FootnoteIndexer />
          <hasSegments>false</hasSegments>
          <hasScenarios>false</hasScenarios>
        </Cell>
      </Cells>
      <ElementDefenition>Legal Proceedings.</ElementDefenition>
      <IsTotalLabel>false</IsTotalLabel>
    </Row>
    <Row>
      <Id>3</Id>
      <Label>Legal Proceedings</Label>
      <Level>1</Level>
      <ElementName>wdc_LegalProceedingsTextBlock</ElementName>
      <ElementPrefix>wdc</ElementPrefix>
      <IsBaseElement>false</IsBaseElement>
      <BalanceType>na</BalanceType>
      <PeriodType>duration</PeriodType>
      <ElementDataType>string</ElementDataType>
      <ShortDefinition>Legal Proceedings.</ShortDefinition>
      <IsReportTitle>false</IsReportTitle>
      <IsSegmentTitle>false</IsSegmentTitle>
      <IsSubReportEnd>false</IsSubReportEnd>
      <IsCalendarTitle>false</IsCalendarTitle>
      <IsTuple>false</IsTuple>
      <IsAbstractGroupTitle>false</IsAbstractGroupTitle>
      <IsBeginningBalance>false</IsBeginningBalance>
      <IsEndingBalance>false</IsEndingBalance>
      <IsEPS>false</IsEPS>
      <Cells>
        <Cell>
          <Id>1</Id>
          <ShowCurrencySymbol>false</ShowCurrencySymbol>
          <IsNumeric>false</IsNumeric>
          <NumericAmount>0</NumericAmount>
          <RoundedNumericAmount>0</RoundedNumericAmount>
          <NonNumbericText>&lt;!--DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd" --&gt;
   &lt;!-- Begin Block Tagged Note 6 - wdc:LegalProceedingsTextBlock--&gt;
   &lt;div style="font-family: 'Times New Roman',Times,serif"&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;b&gt;6. Legal Proceedings&lt;/b&gt;
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;The Company discloses material loss contingencies deemed to be reasonably possible and accrues
   for loss contingencies when, in consultation with the Company&amp;#8217;s legal advisors, the Company
   concludes that a loss is probable and reasonably estimable. The ability to predict the ultimate
   outcome of such matters involves judgments, estimates and inherent uncertainties. The actual
   outcome of such matters could differ materially from management&amp;#8217;s estimates.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;i&gt;Intellectual Property Litigation&lt;/i&gt;
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;On June&amp;#160;20, 2008, plaintiff Convolve, Inc. (&amp;#8220;Convolve&amp;#8221;) filed a complaint in the Eastern
   District of Texas against the Company and two other companies alleging infringement of U.S. Patent
   Nos. 6,314,473 and 4,916,635. Plaintiff is seeking unspecified monetary damages and injunctive
   relief. On October&amp;#160;10, 2008, Convolve amended its complaint to allege infringement of only the &amp;#8217;473
   patent. The &amp;#8217;473 patent allegedly relates to interface technology to select between certain modes
   of a disk drive&amp;#8217;s operations relating to speed and noise. The Company intends to defend itself
   vigorously in this matter.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;On December&amp;#160;8, 2008, plaintiffs MagSil Corporation and the Massachusetts Institute of
   Technology filed a complaint in the District of Delaware against the Company and seven other
   companies in the disk drive industry alleging infringement of U.S. Patent Nos. 5,629,922 and
   5,835,314. Plaintiffs are seeking unspecified monetary damages and injunctive relief. The asserted
   patents allegedly relate to tunneling magnetoresistive technology. The Company intends to defend
   itself vigorously in this matter.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;On April&amp;#160;7, 2009, plaintiff Gregory Bender filed a complaint in the Northern District of
   California against the Company and Seagate Technology LLC alleging infringement of U.S. Patent No.
   5,103,188. Plaintiff is seeking unspecified monetary damages. The asserted patent allegedly relates
   to buffered transconductance amplifier technology. The Company intends to defend itself vigorously
   in this matter.
   &lt;/div&gt;
   &lt;!-- Folio --&gt;
   &lt;!-- /Folio --&gt;
   &lt;/div&gt;
   &lt;!-- PAGEBREAK --&gt;
   &lt;div style="font-family: 'Times New Roman',Times,serif"&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;On July&amp;#160;15, 2009, plaintiffs Carl B. Collins and Farzin Davanloo filed a complaint in the
       Eastern District of Texas against the Company and ten other companies alleging infringement of U.S.
   Patent Nos. 5,411,797 and 5,478,650. Plaintiffs are seeking injunctive relief and unspecified
       monetary damages, fees, and costs. The asserted patents allegedly relate to nanophase diamond
       films. The Company intends to defend itself vigorously in this matter.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;On December&amp;#160;7, 2009, plaintiff Nazomi Communications filed a complaint in the Eastern District
       of Texas against the Company and seven other companies alleging infringement of U.S. Patent Nos.
   7,080,362 and 7,225,436. Plaintiffs are seeking injunctive relief and unspecified monetary
       damages, fees, and costs. The asserted patents allegedly relate to processor cores capable of Java
       hardware acceleration. The Company intends to defend itself vigorously in this matter.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;On January&amp;#160;5, 2010, plaintiff Enova Technology Corporation filed a complaint in the District
       of Delaware against the Company and Initio Corporation alleging infringement of U.S. Patent Nos.
   7,136,995 and 7,386,734. Plaintiffs are seeking injunctive relief and unspecified monetary
       damages, fees, and costs. The asserted patents allegedly relate to real time full disk encryption
       application specific integrated circuits, or ASICs. The Company intends to defend itself vigorously
       in this matter.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;i&gt;Employment Litigation&lt;/i&gt;
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;On March&amp;#160;20, 2009, plaintiff Ghazala H. Durrani, a former employee of the Company, filed a
       putative class action complaint in the Alameda County (California) Superior Court. The complaint
       alleges that certain of the Company&amp;#8217;s engineers have been misclassified as exempt employees under
       California state law and are, therefore, due unpaid hourly overtime wages and other amounts, as
       well as penalties for allegedly missed meal and rest periods. By court order dated April&amp;#160;24, 2009,
       the case was transferred to the Orange County (California) Superior Court, where it is now pending.
   On or about June&amp;#160;16, 2009, the Company was dismissed from the case without prejudice by
       stipulation, leaving WDTI as the sole remaining defendant. On or about June&amp;#160;4, 2009, WDTI filed its
       Answer to the complaint, denying the substantive allegations thereof and raising several
       affirmative defenses. The case is in the preliminary stages, with no formal discovery having
       occurred. A court hearing on whether the case should be certified as a class action will likely not
       occur until mid 2010 at the earliest. If the Company is unsuccessful in its defense of this matter,
       potential liability could include unpaid wages, interest, penalties, attorneys&amp;#8217; fees and costs. The
       Company intends to defend itself vigorously in this matter.
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;i&gt;Other Matters&lt;/i&gt;
   &lt;/div&gt;
   &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;&amp;#160;&amp;#160;&amp;#160;&amp;#160;&amp;#160;In the normal course of business, the Company is subject to other legal proceedings, lawsuits
       and other claims. Although the ultimate aggregate amount of probable monetary liability or
       financial impact with respect to these other matters is subject to many uncertainties and is
       therefore not predictable with assurance, management believes that any monetary liability or
       financial impact to the Company from these other matters,
       individually and in the aggregate, would
       not be material to the Company&amp;#8217;s financial condition, results of operations or cash flows. However,
       there can be no assurance with respect to such result, and monetary liability or financial impact
       to the Company from these other matters could differ materially from those projected.
   &lt;/div&gt;
   &lt;/div&gt;
</NonNumbericText>
          <NonNumericTextHeader>&lt;!--DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd" --&gt;
   &lt;!-- Begin Block Tagged Note</NonNumericTextHeader>
          <FootnoteIndexer />
          <hasSegments>false</hasSegments>
          <hasScenarios>false</hasScenarios>
        </Cell>
      </Cells>
      <ElementDefenition>Legal Proceedings.</ElementDefenition>
      <ElementReferences>No authoritative reference available.</ElementReferences>
      <IsTotalLabel>false</IsTotalLabel>
    </Row>
  </Rows>
  <Footnotes />
  <ComparabilityReport>false</ComparabilityReport>
  <NumberOfCols>1</NumberOfCols>
  <NumberOfRows>2</NumberOfRows>
  <HasScenarios>false</HasScenarios>
  <MonetaryRoundingLevel>UnKnown</MonetaryRoundingLevel>
  <SharesRoundingLevel>UnKnown</SharesRoundingLevel>
  <PerShareRoundingLevel>UnKnown</PerShareRoundingLevel>
  <HasPureData>false</HasPureData>
  <SharesShouldBeRounded>true</SharesShouldBeRounded>
</InstanceReport>
