But Lazio, who had more chances throughout the game, came back strongly after defender Alex, making his debut after a move from Paris St Germain, put through his own goal.
In front of a disappointing San Siro crowd, they got off to an ideal start when Stephan El Shaarawy burst forward and found Honda who scored unmarked at the back post in the seventh minute.
Ghana midfielder Muntari was left completely unmarked as he turned in Ignazio Abete's cross from close range in the 56th minute, then Menez appeared to make the game safe as he won and converted a penalty eight minutes later.
But Lazio, playing their first competitive game under new coach Stefano Poli, suddenly came back into the game when Alex turned Candreva's cross beyind Lopez three minutes later.
Stefano Mauri clipped the crossbar as they continued to press, then Lopez made a superb close-range save to deny Candreva before saving the same player's weak penalty.
Napoli won 2-1 at Genoa thanks to a stoppage-time goal by Jonathan de Guzman and Inter Milan defender Nemanja Vidic began his Serie A career by giving away a penalty and getting sent off in a 0-0 draw at Torino on Sunday.
Thirty-six-year-old Antonio Di Natale, who back-tracked on last season's decision to retire, was as sharp as ever, scoring both goals in Udinese's 2-0 win over promoted Empoli to follow his four-goal haul in the Coppa Italia last week.
Sampdoria trailed for 83 minutes at promoted Palermo and played the entire second half with 10 men after Vasco Regini was sent off, but still managed to draw 1-1 thanks to a goal by Daniele Gastaldello in the last minute.
Napoli took an early lead at Genoa through Jose Callejon but the hosts levelled just before halftime with a superb header by Chile forward Mauricio Pinilla on his debut following his move from Cagliari.
Napoli, who failed to qualify for the Champions League after losing 3-1 to Athletic Bilbao due to a shambolic defensive display, grabbed the three points when Dutchman De Guzman sneaked in behind the Genoa defence at a free kick to score from close range.
Vidic conceded a first-half penalty with a foul on Fabio Quagliarella against Torino but his blushes were spared when Samir Handanovic saved Marcelo Larrondo's spot-kick.
The former Manchester United defender was sent off near the end of the match, however, for sarcastically applauding the referee.
- Sports & Recreation
- Antonio Candreva
- Keisuke Honda
- Jeremy Menez
- Sulley Muntari
- Massimiliano Allegri
- Clarence Seedorf
- Inter Milan