Greece is making it easier for the rich and famous to fulfill their dreams by preparing to sell, or offering long-term leases on, some of its 6,000 sunkissed islands in a desperate attempt to repay its mountainous debts, The Guardian reads.

The London daily has learned that an area in Mykonos, one of Greece's top tourist destinations, is one of the sites for sale. The area is one-third owned by the government, which is looking for a buyer willing to inject capital and develop a luxury tourism complex, according to a source close to the negotiations.

Potential investors also looking at property on the island of Rhodes, are mostly Russian and Chinese. Investors in both countries are looking for a little bit of the Mediterranean as holiday destinations for their increasingly affluent populations. Roman Abramovich, the billionaire owner of Chelsea football club, is among those understood to be interested, although a spokesman denied he was about to invest.

Greece has embarked on the desperate measures after being pushed into a EUR110bn bailout by the EU and the IMF last month, following a decade of overspending and after jittery investors raised borrowing costs to unbearable levels.

The sale of an island – or convincing a member of the international jet-set to take on a long-term lease – would help to boost its coffers. The Private Islands website lists 1,235-acre Nafsika, in the Ionian sea, on sale for EUR15m. But others are on for less than EUR2m – less than a townhouse in Mayfair or Chelsea. Some of the country's numerous islands are tiny which could barely fit a single sunbed.

Only 227 Greek islands are populated and the decision to press ahead with potential sales has also been driven by the inability of the state to develop basic infrastructure, or police most of its islands. The hope is that the sale or long-term lease of some islands will attract investment that will generate jobs and taxable income.