Grospeillet said this at a news conference in Rijeka on Wednesday afternoon at the end of a three-day visit to the biggest Croatian seaport.
Mayor Vojko Obersnel told the press that this was the fourth time Rijeka was applying for the organisation of the Mediterranean Games.
The five-member commission of the International Committee of the Mediterranean Games toured Rijeka and its surroundings to see sports facilities and infrastructure in that part of Croatia.
The other two candidates for the organisation of the 2013 Games are Mersin, Turkey, and Volos, Greece.
The decision on the Games' host will be made in November 2007.
The Mediterranean Games were first held in 1951. From 1991 on, they were held the year following the Olympic Games.