Pierre Moscovici (left), the European commissioner for economic and financial affairs, speaks with Greek Finance Minister Euclid Tsakalotos ahead of a Eurogroup finance ministers meeting at the European Council in Brussels on Dec. 5.
Pierre Moscovici (left), the European commissioner for economic and financial affairs, speaks with Greek Finance…

BRUSSELS—Eurozone finance ministers toiled Monday to find ways to bring the International Monetary Fund back into Greece’s bailout, as talks between the country and its international creditors enter a critical stage.

The ministers, gathering in Brussels for their monthly get-together, hope to move closer to agreeing upon a set of overhauls Greece must enact under its bailout—which could reach €86 billion—as well as a series of debt-relief measures from its European creditors. They hope the steps will be enough to win IMF participation in the bailout.

Eurozone officials say negotiations with Greece on the second review of its program are close to being completed, though a few outstanding issues remain, including tough labor-market overhauls and changes in the energy sector.

The IMF is expected to decide whether it will join Greece’s bailout once the second review is completed. Several eurozone countries—led by Germany and the Netherlands—have demanded IMF participation as a condition for them to agree on fresh loans.

While eurozone officials don’t expect Monday’s meeting to be conclusive, they hope it can lead to some convergence on what Greece needs to do and how its debt will be made sustainable.

Easing Greece’s debt load is a key condition for the IMF before it can participate in the bailout and start doling out fresh…