The two leaders also were adamant that private sector bondholders must share in lowering Greece's debt load.
"We must see progress on the voluntary restructuring of Greek debt," Merkel told a joint news conference. "From our point of view, the second Greek aid package including this restructuring must be in place quickly. Otherwise it won't be possible to pay out the next tranche for Greece."
Meanwhile, blue-chip companies like Johnson & Johnson, Pfizer and Peugeot are stepping in to help Europe's struggling banks, according to Reuters.
One source with knowledge of the so-called repo deals or short-term secured lending, said the two US pharmaceutical groups and French carmaker were the latest to sign up for them, Reuters said.
Europe's Stoxx 600 Index ended the session with a 0.5 per cent decline.
In the US, eyes are firmly on the next round of corporate results. First up is Alcoa. The stock rose before it is scheduled to post earnings after the close of the market today, although the company last week flagged a dimming outlook.
Standard & Poor's 500 Index companies, which surpassed analysts' estimates in the previous 11 quarters, are forecast to report a 6 per cent increase in per-share profit during the September-December period, according to projections compiled by Bloomberg. That would mark the slowest growth since the third quarter of 2009.
In afternoon trading in New York, the Dow Jones Industrial Average rose 0.19 per cent, while the Standard & Poor's 500 Index and the Nasdaq Composite Index both edged higher, advancing 0.02 per cent and 0.06 per cent respectively.
Google fell almost 4 per cent after Motorola issued a warning about its profit outlook. Google is buying Motorola.
"Europe is trying to figure out a way of getting some growth, but at the same time they have austerity," Michael Holland, chairman and founder of New York-based Holland & Co, told Bloomberg News. "In the US, the earnings expectations have been lowered to a point that you'll probably have an OK market reaction."
In a surprise move, Philipp Hildebrand resigned as head of the Swiss central bank after questions were raised about currency trading by his wife. Thomas Jordan, Swiss National Bank vice president, was appointed interim chairman.