<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><Version>2.4.0.8</Version><ReportLongName>0017 - Disclosure - 11. CONTRIBUTION AGREEMENTS WITH MINISTER OF NATURAL RESOURCES OF CANADA</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column FlagID="0"><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelSeparator>

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</LabelSeparator><Level>2</Level><ElementName>MEILU_ContributionAgreementsWithMinisterOfNaturalResourcesOfCanadaTextBlock</ElementName><ElementPrefix>MEILU_</ElementPrefix><IsBaseElement>false</IsBaseElement><BalanceType>na</BalanceType><PeriodType>duration</PeriodType><IsReportTitle>false</IsReportTitle><IsSegmentTitle>false</IsSegmentTitle><IsCalendarTitle>false</IsCalendarTitle><IsEquityPrevioslyReportedAsRow>false</IsEquityPrevioslyReportedAsRow><IsEquityAdjustmentRow>false</IsEquityAdjustmentRow><IsBeginningBalance>false</IsBeginningBalance><IsEndingBalance>false</IsEndingBalance><IsReverseSign>false</IsReverseSign><FootnoteIndexer /><Cells><Cell FlagID="0" ContextID="From2012-12-01to2013-05-31" UnitID=""><Id>1</Id><IsNumeric>false</IsNumeric><IsRatio>false</IsRatio><DisplayZeroAsNone>false</DisplayZeroAsNone><NumericAmount>0</NumericAmount><RoundedNumericAmount>0</RoundedNumericAmount><NonNumbericText>&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0"&gt;&lt;b&gt;NOTE 11 - CONTRIBUTION AGREEMENTS WITH MINISTER OF NATURAL
RESOURCES OF CANADA&lt;/b&gt;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0"&gt;&amp;#160;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0"&gt;&lt;u&gt;Mississauga Facility:&amp;#160;&lt;/u&gt;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;In 2009, the Company entered into a Non-Refundable
Contribution Agreement with the Minister of Natural Resources of Canada for the Mississauga facility under the ecoENERGY for Biofuels
program. Under the agreement, as amended as at May 13, 2013, the Company may receive up to $5,217,945 (CDN$5,410,000) in the years
from 2009 to 2016 from the Canadian government in biodiesel production incentives when biodiesel is produced and sold. The contribution
from the Canadian Government is non-refundable by the Company.&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;&amp;#160;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;For the three and six months ended May
31, 2013, the Company claimed incentives of $8,559 and $10,170, respectively (three and six months ended May 31, 2012 - $150,440
and $244,456, respectively) for the biodiesel produced from its Mississauga facility. Since entering into the program to May 31,
2013, the Company has claimed total incentives of $1,458,285&amp;#160;of which it has received a total of $1,449,265.&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;&amp;#160;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;Included in accounts receivable as at November
30, 2012 and May 31, 2013, is an amount receivable of $46,816 and $9,020, respectively, due from the Minister of Natural Resources
of Canada.&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0"&gt;&amp;#160;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0"&gt;&lt;u&gt;Sombra Facility&lt;/u&gt;:&amp;#160;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;In 2010, the Company applied for an incentive
under the ecoENERGY for Biofuels program for its Sombra facility and was approved by the Canadian government. The final Contribution
Agreement with the Minister of Natural Resources of Canada for the Sombra facility under the ecoENERGY for Biofuels program was
signed by the Company and the Canadian Government on December 6, 2011. Under the agreement, as amended as at April 16, 2013, the
Company may receive up to $14,260,325 (CDN$14,785,200) from the years 2012 to 2017 from the Canadian government in biodiesel production
incentives when biodiesel is produced and sold. The contribution from the Canadian Government is non-refundable by the Company.&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0"&gt;&amp;#160;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;For the three and six months ended May
31, 2013, the Company claimed incentives of $161,565 and $168,833 (three and six months ended May 31, 2012 - $nil in each period)
for the biodiesel produced from its Sombra facility. Since entering into the program in 2010 to May 31, 2013, the Company has claimed
total incentives of $168,833&amp;#160;of which it has received a total of $nil.&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;&amp;#160;&lt;/p&gt;

&lt;p style="font: 8pt/normal Times New Roman, Times, Serif; margin: 0; text-indent: 45pt"&gt;Included in accounts receivable as at November
30, 2012 and May 31, 2013, is an amount receivable of $nil and $168,833, respectively, due from the Minister of Natural Resources
of Canada.&lt;/p&gt;</NonNumbericText><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat></Cell></Cells><ElementDataType>nonnum:textBlockItemType</ElementDataType><SimpleDataType>na</SimpleDataType><ElementDefenition>No authoritative reference available.</ElementDefenition><ElementReferences>No definition available.</ElementReferences><IsTotalLabel>false</IsTotalLabel><UnitID>0</UnitID><Label>11. CONTRIBUTION AGREEMENTS WITH MINISTER OF NATURAL RESOURCES OF CANADA</Label></Row></Rows><Footnotes /><IsEquityReport>false</IsEquityReport><ReportName>11. CONTRIBUTION AGREEMENTS WITH MINISTER OF NATURAL RESOURCES OF CANADA</ReportName><MonetaryRoundingLevel>UnKnown</MonetaryRoundingLevel><SharesRoundingLevel>UnKnown</SharesRoundingLevel><PerShareRoundingLevel>UnKnown</PerShareRoundingLevel><ExchangeRateRoundingLevel>UnKnown</ExchangeRateRoundingLevel><HasCustomUnits>true</HasCustomUnits><IsEmbedReport>false</IsEmbedReport><IsMultiCurrency>false</IsMultiCurrency><ReportType>Sheet</ReportType><RoleURI>http://methes.com/role/ContributionAgreementsWithMinisterOfNaturalResourcesOfCanada</RoleURI><NumberOfCols>1</NumberOfCols><NumberOfRows>2</NumberOfRows></InstanceReport>
