During his first season as a senior, he won the Lisbon Grand Prix and the Paris World Cup, and earned a bronze medal in the World Championships in Havana. He finished the season No.4 in world rankings. After a dry spell in 2003–04, he won the Heidenheim Grand Prix and the Puerto Rico World Cup in 2005. The same year, he joined the French national épée team, which had won the Olympic gold at Athens. With Érik Boisse, Jérôme Jeannet and Fabrice Jeannet, Robeiri won the gold medal at the World Championships. The team would come to be known as “the Invincibles”, as they dominated men's épée from 2004 to 2010 with eight consecutive world titles.