In the next season of 2010-11, his playing time in the Spanish League was limited to 7 games, with an average playing time of 4.6 minutes per game, with his numbers dropping down to 1.7 points, 0.9 rebounds, and 0.3 blocks per game.
Nevertheless, that same season, the Brazilian player had his first good performance in a Euroleague game, in which he also produced his best performance of the season, in a game against Brose Baskets, the leader of the German League, in which Lima scored 14 points and grabbed 8 rebounds.