The meetings came after Greece's Finance Minister Yanis Varoufakis proposed a swap of outstanding debt for new growth-linked bonds on Monday. The proposals are a step back from earlier demands by the new, left-wing government, for a debt haircut – something that European leaders have consistently ruled out.
On Wednesday, Varoufakis met Mario Draghi, president of the European Central Bank (ECB)
Making a statement after the meeting, Varoufakis said discussions had gone well and the two parties had "established line of communication."
"We had a very fruitful discussion and exchange concerning the constraints, the rules, the regulations, the process by which the relationship between Greece the euro zone and of course the central bank must unfold."
He said that an attitude of "business as usual" was not possible for Greece as the country's bailout program was "causing a major humanitarian crisis."
He said he travelling on to Berlin to meet Finance Minister Wolfgang Schaeuble on Thursday.
Despite the friendlier comments coming out of Brussels today, analysts have warned of "challenging" discussions ahead.
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Despite Greece the toning down of the anti-bailout rhetoric, it is unclear whether the so-called troika which oversees Greece's 240 billion euro ($357 billion) bailout program and financial aid – comprised of the European Commission, ECB and International Monetary Fund – would accept the proposals.
Michala Marcussen, global head of economics at Societe Generale, warned that negotiations between the two parties were bound to be difficult.
"We have seen some more compromising sounds come out in the last couple of days, so that at least is something on the positive front. But I think there are really a lot of parameters that make it very challenging," she told CNBC Wednesday.