U.S. stocks open little changed on Greek debt crisis

U.S. stocks opened mildly lower on Tuesday, as investors awaited developments in the Greek debt crisis.

Finance ministers from eurozone countries are expecting new proposals from Greece in Tuesday's talks, in an effort to find a solution to the Greek financial crisis.

In a Sunday referendum, more than 61 percent of Greeks voted "no", rejecting a proposal from international creditors that included pension cuts, tax increases and other measures. Analysts said the "no" vote increased the likelihood that Greece might eventually exit the eurozone.

Following the vote, Greek Finance Minister Yanis Varoufakis resigned on Monday. The reason he cited was a preference by his countries' creditors of not having him in future negotiations.

Greece appointed Euclid Tsakalotos, the deputy foreign minister for international economic affairs and chief coordinator of the country's negotiating team over a debt deal with lenders, as the new finance minister.

On the economic front, the goods and services deficit was 41.9 billion U.S. dollars in May, an increase of 1.2 billion dollars from April's revised level, according to the U.S. Commerce Department.

Shortly after the opening bell, the Dow Jones Industrial Average mildly shed 22.11 points, or 0.13 percent, to 17,661.47. The S&P 500 ticked down 1.55 points, or 0.07 percent, to 2,067.21. The Nasdaq Composite Index lost 10.58 points, or 0.21 percent, to 4,981.36.

U.S. stocks closed lower Monday as Wall Street sentiment was weighed down by the outcome of the Greek referendum. Endi