Brent crude futures rose $1.08, or about 1%, to $115.21 a barrel at 0400 GMT, adding to a 0.9% gain on Monday. The benchmark contract fell 7.3% last week in its first weekly fall in five.
U.S. West Texas Intermediate (WTI) crude futures for July, which expires later on Tuesday, rose to $112.01 a barrel, up $2.45, or 2.2%, from Friday's close. There was no settlement on Monday, which was a U.S. public holiday. WTI dropped 9.2% last week.
The more-active WTI contract for August was up $2.12 at $110.11 a barrel.
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