Brent crude futures were up 5 cents, or 0.08 percent, at $66.60 per barrel by 0043 GMT.
US West Texas Intermediate (WTI) crude futures were down 2 cents, or 0.03 percent, at $59.41 a barrel.
The leaders of the G20 countries meet on Friday and Saturday in Osaka, Japan, but the most anticipated meeting is between Trump and Xi on Saturday.
Have you signed up for Primo, our daily newsletter?
It has all the stories and data on the market, business, economy and tech that you need to know.
THANK YOU! You made our day. See you every morning
YOUR EMAIL IS ON ITS WAY. Check your inbox for future updates.
To keep watching CNBC-TV18, India's No. 1 English Business News Channel, call your Cable or DTH Operator and subscribe now for just Rs. 4 per month. You can also subscribe to CNBC-TV18 Prime HD for Re 1/- per month.Find out more