BERLIN — Chancellor Angela Merkel of Germany faced calls from opposition leaders on Monday for new elections, as bickering and fighting within her governing coalition has led to growing speculation in the German news media that a collapse of her government could be imminent.

Rocked by the resignations of a pair of high-ranking officials from her party and a significant setback in elections last month, Mrs. Merkel finds herself embroiled in possibly the worst political crisis since she became chancellor in 2005.

The decision to push through Germany’s share of a multibillion-dollar bailout for Greece and an even larger rescue package to defend the euro cost her dearly among parsimonious German voters, who are bitter at bailing out what they see as spendthrift neighbors.

Then last week the government proposed nearly $100 billion in belt-tightening measures by 2014, intended to slow the growth of the country’s debts. Coming on the heels of the bailout votes, the budget cuts led thousands of Germans to take to the streets in protest over the weekend, leaving more than a dozen police officers injured here in the capital.