The Frenchman was involved in a first-half altercation with the Portuguese manager and was seen pushing him live on television.
The incident occurred after some tough tackling on the pitch, during a game that involved fiery challenges throughout.
Chelsea ran out 2-0 winners in the end, after goals from Eden Hazard (from the penalty spot) and Diego Costa secured all three points at Stamford Bridge.
Mourinho refused to shake Wenger's hand after the game, instead electing to walk straight down the dugout.
And Arsenal boss Wenger says he does not regret pushing his opposite number, suggesting he simply 'wanted to go from A to B' and was 'confronted without any sign of welcome.'
Wenger is asked whether he regrets pushing Mourinho. "No. What is to regret after that?"— Oliver Kay (@OliverKayTimes) October 5, 2014
Wenger on Mourinho push: "I wanted to go from A to B and someone confronted me without any sign of welcome."— James Olley (@JamesOlley) October 5, 2014
Chelsea are also now back to five points clear of second-placed Manchester City.
The win ended Arsenal's unbeaten Premier League run but Mourinho's Blues are themselves still yet to taste defeat.
Top-flight action now takes a break due to international matches but Chelsea will travel to Crystal Palace when the Premier League resumes. Arsenal, meanwhile, host Hull City.