Media sources RMC Sport and L'Equipe said the four-time world champion and former F1 team owner has travelled to Abu Dhabi this weekend, to step up the talks with the F1 chief executive.
RMC said Prost's meeting with Ecclestone is scheduled for Saturday.
"Alain Prost is a major asset," said former F1 driver and Frenchman Patrick Tambay.
"He knows Bernie Ecclestone very well. Frankly, he is the ideal man to represent France in this matter."