Totti ended his two-month injury absence but had to settle for a share of the spoils in a 2-2 draw away to Milan.
There was better news for AC Milan as a Mario Balotelli free kick helped it beat Catania 3-1 for its first win in six league matches, while a last-minute equalizer saw Sampdoria earn a 1-1 draw at Inter Milan, in front of new Nerazzurri President Erick Thohir.
Goals from Totti, Alessandro Florenzi and Kevin Strootman gave Roma a 3-1 victory over Parma
Milan coach Massimilano Allegri, who was lucky to hang on to his job at the end of last season as the Rossoneri finished third following a disastrous first half of the campaign, said his joy was tempered by renewed criticism.
Park played for PSV in 2003-2005 under Guus Hiddink, a former South Korea coach. Park then moved to Manchester United, where he won the 2008 Champions League and four Premier League titles.
Strootman started his career at Sparta Rotterdam and moved from the Dutch second division club to FC Utrecht in the January 2011 transfer window. Half a year later he joined PSV. The 18-times Dutch international led PSV to the Dutch Cup and the Dutch Super Cup in 2012.
Dutch champions PSV Eindhoven go into the winter break in the Eredivisie with an 11-point lead after round 20.