Two Club Med shareholders have made a "friendly" bid for the company in a deal that values the company at €541 million (£463m).
Club Med shares jumped 23% on Monday after AXA Private Equity and China’s Fosun made the bid.
In a statement, its management board said it "took note of the friendly character of this offer".
It has commissioned a report on the bid by independent analysts before making a final decision.
The company, which operates around 70 resorts worldwide, is looking to reduce European sales and for China to become its second biggest market by the end of 2015.
According to the group’s latest figures, bookings from Europe are falling while sales in the Americas and Asia are rising.
