PARIS — The biggest financial institutions in Germany followed the lead of their French counterparts Thursday by agreeing to roll over some of their holdings of Greek debt — a crucial step toward obtaining international agreement on a second bailout for the crippled Greek economy.

The German finance minister, Wolfgang Schäuble, said in Berlin that banks and insurance companies were “prepared to participate in a second aid program for Greece” as part of a wider European deal.

The news added to the relief in global markets after the Greek Parliament approved laws Wednesday and Thursday enabling new government spending cuts and revenue-raising steps.

The president of the European Commission, José Manuel Barroso, and the president of the European Council, Herman Van Rompuy, said in a statement Thursday that with the Greek Parliament’s actions, “the conditions are now in place for a decision on the disbursement of the next tranche of financial assistance for Greece and for rapid progress on a second assistance package.”