"We welcomed our new Greek colleague and listened to his assessment of the situation after the "No" vote in Greece," Eurogroup President Jeroen Dijsselbloem said in a statement.
"The first step will be that the Greek government will send the Eurogroup a new request; a new request letter for ESM support and as soon as this comes in -- hopefully already tomorrow morning -- we will have another Eurogroup conference call to formally start the process of dealing with this request."
"All this has to be done in a matter of days," Dijsselbloem noted. "We have very little time."
Europe's Stoxx 600 Index ended the day with a 1.6 percent slide from the previous close. The UK's FTSE 100 Index dropped 1.6 percent, Germany's DAX shed 2 percent, while France's CAC 40 Index sank 2.3 percent.
Greece's stock market remained closed on Tuesday as it will be on Wednesday after a bank holiday was extended.
Meanwhile, as Chinese stocks dropped again, Goldman Sachs remains bullish on China. Kinger Lau, the bank's China strategist in Hong Kong, predicts the large-cap CSI 300 Index will rally 27 percent over the next 12 months, Bloomberg reported.
Not everyone is convinced.
"Investors are concerned about China because that is a long-term issue," Michael Joyce, president of JoycePayne Partners, told Reuters. "A slowdown in that economy has a much bigger and longer lasting impact."
The US is on firmer footing. A Commerce Department report showed the US trade gap grew less than expected, increasing US$1.2 billion to $41.9 billion.
As the US earnings season gets underway, shares of Advanced Micro Devised sank, last down 15.2 percent, after the chipmaker slashed its second-quarter revenue and margin forecast amid weaker-than-expected PC demand.