Merkel hardened Germany's position that any attempt to share burdens in Europe - such as jointly issued euro bonds or common banking bodies - must first be met with greater co-operation and a handover of some sovereignty to Brussels.
The euro fell to its lowest level against the US dollar in more than two years last week, sliding as low as US$1.2163 on July 13.
Europe's most credit-worthy government bonds climbed, with German two-year note yields down to a record minus 0.052 per cent, as investors sought havens from the euro crisis.
Diverging rates and capital outflows within the 17-member monetary union signal that the single currency is "slowly unravelling," Stephen Gallo, senior foreign-exchange strategist at Credit Agricole in London said.
"The whole project is unravelling, that's what's essentially happening now," Gallo said.
While Merkel said that Europe is on the right course toward putting an end to the crisis, euro-area leaders "haven't solved the problems conclusively".
German lawmakers will interrupt their summer vacations and return to Berlin on Friday to vote to approve €100 billion ($153.7 billion) in rescue loans to Spain.
After Spanish Prime Minister Mariano Rajoy last week announced €65 billion in welfare cuts and tax increases, Merkel reiterated that financial assistance would not be doled out without conditions.
"Whoever receives assistance and where liabilities are taken over, there has to be control," Merkel told ZDF.
French President Francois Hollande, Italian Prime Minister Mario Monti and Spain's Rajoy have pressed for faster action, including joint liabilities, while Merkel has called jointly issued debt the "wrong way" to fix the crisis.
Merkel last month castigated a blueprint for the summit by EU President Herman Van Rompuy as too focused on "collectivisation".
Euro officials this month have also sparred over the timetable for establishing a euro-wide bank supervisor, a benchmark required before they implement one of the decisions from the June 28-29 summit - direct bailout funding for banks.
Investors have viewed such a step as a way to sever the link between banking debt and sovereign debt.
Euro-area finance ministers will confer on Saturday to complete an agreement on Spain's bank bailout.
On July 10, the ministers announced €30 billion of aid would be made available by the end of this month. Klaus Regling, who heads the euro's bailout funds, told German newspaper Welt am Sonntag that governments could avoid liability for bank rescues under proposals for a regional supervisor.
That contradicts German Finance Minister Wolfgang Schaeuble, who said on July 9 that he expects governments to guarantee loans even if they go directly to banks, Welt said.
Merkel said leaders hadn't yet reached an agreement on the terms for bank rescues.
German Bundesbank President Jens Weidmann said euro leaders had caused damage by failing to define more clearly their conclusions at the summit.
He told Dutch newspaper Het Financieele Dagblad on July 14 that euro nations "should discuss giving up sovereignty with the same openness as the question of how to resolve the debt problem collectively".
As governments in Spain and Italy struggle under the burden of higher borrowing costs, Weidmann, Germany's chief central banker and a European Central Bank Governing Council member, told Boersen-Zeitung that Italy's higher yields don't justify a request for bailout assistance.
Euro bailout funding should be deployed only as a last resort, he said.
"If Italy stays the course on reforms, it's on a good path."
- Bloomberg