In 2001, he shared first at Mar del Plata and took 7th in Buenos Aires (14th Najdorf Memorial; Anatoly Karpov won). In 2003, he tied for 2nd–9th in Lido degli Estensi (Artur Kogan won). In 2004, he tied for 3rd–5th in Havana (Capablanca Memorial; Leinier Domínguez won).
In 2005, Felgaer won in Vila de Sort, tied for 2nd–5th at Sevilla 2005 (Dos Hermanas, Teimour Radjabov won), and took 6th at Barcelona 2005 (Vassily Ivanchuk won). In October 2006 he played in a match Buenos Aires vs Warsaw, and drew with Bartosz Soćko (1 : 1) at first board in Buenos Aires (17th Najdorf Festival).