Global benchmark Brent crude futures were down 15 cents, or 0.18%, at USD 82.47 per barrel at 0034 GMT. U.S. West Texas Intermediate crude futures were down 16 cents, or 0.2%, at USD 78.29 a barrel.
That followed prices slipping on Friday after a survey showed U.S. consumer sentiment fell to a seven-month low in June, with households worried about their personal finances and inflation.
However, both benchmark contracts still gained nearly 4% last week, the highest weekly rise in percentage terms since April, on signs of stronger fuel demand.
Economic data from China on Monday will set the tone for commodity markets this week, ANZ analysts said in a note.
China's refinery throughput will offer an indicator of oil demand, while retail sales, business investment, industrial production, and house price figures will give a clearer picture of economic activity in the world's largest crude oil importer.
Producer and consumer data last week showed the country is still grappling with deflation.
Markets in key oil trading hub Singapore and other countries in the region were closed for a public holiday on Monday.
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