U.S. West Texas Intermediate (WTI) futures were down 12 cents, or 0.2 percent, at $67.58 a barrel, also off the late-2014 highs of $69.56 a barrel marked earlier in April.
Brent crude futures were at $73.91 per barrel at 0630 GMT, down 15 cents, or 0.2 percent from their last close.
EMini futures for the S&P 500 ESc1 rose right from the start and were last up 0.4 percent, while Eurostoxx 50 futures STXEc1 added 0.27 percent.
U.S. WTI crude futures were at $65.20 barrel at 0657 GMT, up 26 cents, or 0.4 percent, from their previous settlement.
U.S. WTI crude futures CLc1 were at $64.63 a barrel at 0729 GMT, up 25 cents, or 0.4 percent, from their previous settlement.
Taking a cue from Wall Street, Japan's Nikkei .N225 enjoyed its best day in almost three months, jumping 2.3 percent.
Brent crude futures LCOc1 were at $65.58 per barrel, up 9 cents, or 0.1 percent, from their previous close.