Enda Kenny says it's up to the Greek government to make the next move as it struggles to end its debt crisis.
Russia has offered to step in and lend money to Greece if it can't get convince other EU countries to release more cash.
A summit of Eurozone prime ministers will be take place on Monday, with Greece needing an urgent bailout in order to repay previous loans to the IMF.
The Taoiseach says other EU leaders have always been helpful for Greece, and now its up to the Greeks to make a meaningful offer:
Greece doesn't have the money to repay €1.6 billion in IMF loans due for repayment at the end of the month - but hasn't yet drawn down the last €7 billion of its previous bailout fund put in place under the last Greek government.
However because the new Greek administration opposes the EU-IMF austerity programme, it's tried to revise the terms and conditions to buy more time to make repayments, thereby putting the remainder of the programme on hold.
Greece says it wants to repay all of its existing EU-IMF loans, but that it doesn't make sense to impose more austerity programmes as this will shrink the economy and make those loans harder to repay.
But other governments around Europe think Greece is being naive with its demands, and are demanding further reforms of the Greek welfare system before they will release the €7 billion that Greece urgently needs to avoid a default.
As our political correspondent Gavan Reilly explains, there seems to be little prospect of a deal to stop Greece from leaving the single currency.