International Monetary Fund managing director Christine Lagarde with Greek Finance Minister Euclid Tsakalotos during a eurozone finance ministers meeting on the situation in Greece, in Brussels on July 12. REUTERS/Eric Vidal Greece has officially paid back the International Monetary Fund.

In a statement on Monday, IMF spokesman Gerry Rice said: "I can confirm that Greece today repaid the totality of its arrears to the IMF, equivalent to SDR 1.6 billion (about EUR 2.0 billion). Greece is therefore no longer in arrears to the IMF."

Rice added, "As we have said, the Fund stands ready to continue assisting Greece in its efforts to return to financial stability and growth."

Greece had fallen into arrears with the IMF on June 30 after the country missed a 1.6 billion euro payment. The Syriza-led government called a surprise referendum on the bailout package that had been offered by the country's European creditors, and Greek voters rejected that plan on July 5.

Last week, however, Greek parliament agreed to a deal with its creditors anyway that seems, at least on the surface, even worse than that plan. But this deal did secure Greece some financing to meet its IMF obligation as well as a 3.5 billion euro payment due to the ECB on Monday. (Update: Greece also paid the ECB on Monday.)

But the Greek parliament's approval of a deal last week has not secured the entirety of a more than 80 billion euro bailout package for Greece, and there is still a way to go for Greece to strike a comprehensive deal with its creditors.

In an interview on Bloomberg Surveillance on Monday, Ian Bremmer of the Eurasia Group said the current Greek deal, as it stood, was "incredibly hard to implement." Bremmer added that it seemed difficult that the IMF would be able to support a new bailout.

Bremmer's outlook on the IMF's ability to support the deal is related to the IMF report last week that said Greece would need debt restructuring, something the current bailout is not explicitly contemplating.

And so while Greek banks are reopening this week, capital controls are still in place — limiting withdrawals to 420 euros a week rather than 60 euros a day — and the Athens Stock Exchange is still closed.

Greece may have a path to a deal, but as Business Insider's Oscar Williams-Grut outlined earlier on Monday, the country is by no means out of the woods yet.