In July 2000, Conceição transferred to Parma A.C. as a makeweight in Hernán Crespo's transfer, along with Matías Almeyda. The following campaign, he was used in the same fashion in the transfer of Sébastien Frey, which saw him go to Inter Milan while Frey went in the other direction. After two seasons and a good number of starts, he would eventually leave Inter by mutual agreement and re-joined Lazio, leaving for former club Porto towards the end of 2003–04, again by mutual agreement, and adding his third Portuguese national championship.