U.S. stock index futures indicated a higher open on Tuesday, recovering some of the previous day's decline as investors waited to see how the crisis in Greece unfolds.
May international trade numbers showed that the U.S. trade deficit widened, fueled by a drop in exports.
Bond yields continued to fall, with the U.S. 10-year yield at 2.22 percent and the 2-year yield at 0.58 percent. The German 10-year bund yield was 0.67 percent.
JOLTs job openings data comes at 10 a.m., and May consumer credit figures at 3 p.m.
"The U.S. economy is continuing to generate mixed signals in the wake of last week's rather disappointing payrolls report," Michael Hewson, chief markets analyst at CMC Markets, said in a note.
"May's trade balance data is expected to show a wider $42.75 billion deficit, from April's $40.9 billion figure."
Read MoreGreece fallout keeps tensions high
Wall Street shares closed lower on Monday amid heightened fears of a Greek exit from the euro zone after voters in the country rejected creditors' bailout terms in a referendum on Sunday. Euro zone finance ministers meet later on Tuesday to discuss the crisis.