Dow futures fell 64 points, or about 0.36% in New York and S&P 500 E-mini futures were down 0.34%. Nasdaq 100 E-mini futures were lower by 0.39%.
The euro fell 0.35% against the U.S. dollar, as news about Greece's failed negotiations dominated the headlines. Greece failed to reach an agreement on Sunday with creditors over terms of its bailout, ahead of a critical meeting with euro finance ministers on June 18.
"While some progress was made, the talks did not succeed as there remains a significant gap," the European Commission said in a text message, according to Bloomberg. "On this basis, further discussion will now have to take place in the Eurogroup."
"The shadow of a Greek exit from the euro zone is becoming increasingly perceptible," German Vice Chancellor and Economy Minister Sigmar Gabriel wrote in an op-ed to be published today in Bild in Germany. "Greece's game theorists are gambling the future of their country. And Europe's too."
Elsewhere abroad, Saudi Arabian stocks gained the most in two months as the Arab world's biggest bourse welcomes foreigners direct access, Bloomberg reported.
The value of Chinese stocks rose above $10 trillion for the first time, as companies with a primary listing in China were valued at $10.05 trillion, an increase of $6.7 trillion in 12 months, according to data compiled by Bloomberg.
Vedanta Resources, India's biggest diversified natural resources company, said Sunday it plans to merge Vedanta (VEDL) and the country's largest privately owned crude oil producer Cairn India in an all-share deal, the Wall Street Journal reported.