West Ham climbed above Liverpool into seventh with 36 points from 22 games.
Leaders Chelsea and champions Manchester City match each other stride for stride.
Lampard initially joined City on loan for six months from New York City FC after leaving Chelsea at the end of last season.
Chelsea, Manchester City continue winning run; Manchester United keep pace with 3-1 win over Newcastle.
Mourinho is also confident that Eden Hazard will sign a new contract at Stamford Bridge.
Arsenal manager Arsene Wenger will face his old club AS Monaco for the first time.
After such a tremendous start to the season, Southampton’s woes continued with a fourth consecutive defeat.
With the attacking flair that helped them claim the Premier League title last season put to one side, City produced a gladiatorial performance that conquered Roma.
Two second-half goals from English champions help them progress to the knockout stage of Champions Trophy.
Roma, City and CSKA all have five points after mediocre campaigns in a group dominated by Bayern.
Sergio Aguero made a tearful exit in the third minute with a knee injury.
Southampton slumped to a second successive defeat with an 89th-minute Alexis Sanchez goal finally breaking their resistance at the Emirates.
The results of Southampton’s next three games could show whether it has the ability to hang around for the long haul.
Bayern Munich are unbeaten in all competitions this season and are already through to the last 16 of the CL.
Third in the group with just two points, Man City must win to keep their Champions League hopes alive
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