Neat, who founded Pied à Terre with David Moore in 1991, left the London restaurant in 1996 after it gained its second Michelin star.
He worked with the Taj Group in India for two years before moving to France where he opened his own restaurant Neat in Cannes.
From 5 to 10 September the chef will run a pop-up kitchen within Pied à Terre where he plans to cook some of the original dishes from the 1990s alongside some of his more current ones.
"After a 20-year absence, it's the first time that our friend and culinary giant will return to Pied à Terre to re-create a number of his acclaimed signature dishes that won us the second Michelin star as well as introduce his new creations," said Pied à Terre owner Moore.
"A critics' favourite and respected by many in the industry, Richard was one of the greatest talents to come out of this country. He was the first British chef to have won a Michelin star in France and was part of the new genre of chefs that super-charged British dining.
"The tasting menu will be incredibly indulgent with ingredients not typically seen in the same service in 2016 let alone on the same menu. Highlights include foie gras, sea bass, john dory, turbot and duck."
Neat worked with Raymond Blanc and Joel Robuchon before becoming head chef for Marco Pierre White at Harveys in London. He became the first British chef to gain a Michelin star in France at Neat in Cannes in 1999.
Neat also ran restaurants in London (Neat) and Marrakech (Casa Lalla Riad and Restaurant) before opening Park Cafe in San Jose, Costa Rica in 2006.
Pied à Terre currently retains one Michelin star with Andy McFadden as head chef.