Torrens started playing basketball in clubs in her native Balearic Islands before moving in 2003 to Segle XXI, where young talents are developed. She made her debut in the Spanish top-tier league with Celta Vigourban in the 2007–08 season. Perfumerías Avenida was her clubs for the next two seasons, winning the Spanish league and the Euroleague in 2011 under coach Lucas Mondelo. Despite being picked by the Connecticut Sun in the 2009 WNBA draft, she has repeatedly refused to join the WNBA because of the commitment to the national team.