"Equity markets are set for another volatile week after facing much drama last week on every end," Naeem Aslam, chief market analyst, at AvaTrade said in a note. "Greece and the U.S. economic health with respect to a hike in interest rate will dictate most of the trading action this week."
Stock market futures for the Dow Jones Industrial Average, Nasdaq and S&P 500 all traded one to 6.5 points lower in European trade, suggesting a flat to slightly negative open for U.S. equity markets.
U.S. stocks closed narrowly mixed on Friday as investors weighed up developments in Greece and a spike in bond yields following the closely watched non-farm payrolls report.
Analysts said strength in U.S. jobs data could encourage the Federal Reserve to raise interest rates sooner rather than later, with this week's economic numbers likely to come under scrutiny for further clues on the timing of a possible rate hike.
Thursday's May retail sales data is expected to be this week's most important data release.
In the meantime, developments outside the U.S. were expected to stay in focus.
The European Commission's President Jean-Claude Juncker on Sunday warned Greece was running out of time to secure a cash-for-reforms deal with its creditors and prevent a debt default.
Read MoreGreece: Leaders lash out as tempers fray
Turkey was also in the spotlight after the country's President Tayyip Erdogan suffered a setback in his plan to boost the powers of the presidency on Sunday after the ruling AK Party failed to win an outright majority in a parliamentary election for the first time.
Turkish stocks tumbled 8 percent in early Monday trade, while the Turkish lira slid to a record low of 2.8 to the U.S. dollar.