The duo were involved in an incident during Saturday’s 0-0 clash at Anfield when Lukaku’s foot made some contact with a grounded Lovren.
The incident went unpunished at the time and the FA will not take any retrospective action against the Manchester United striker.
But Lovren said yesterday he felt Lukaku’s actions were deliberate.
‘I made a tackle there – I just felt he was over me he could have moved away,’ said the Liverpool defender.
‘But, to be honest, my honest view was he did it on purpose. Even if he didn’t do it [on purpose], he would usually apologise, he was nervous during the game, that was also the reason.’
Mourinho responded to the comments today, saying Lovren contradicted himself by speaking about the incident.
‘There is a contradiction. He says let’s move on and forget, then spends 10 minutes speaking about it.’
He added: ‘I read something but we have to move on and forget what happened. Speaking about things that happened and didn’t happen.
‘For me, there was not any meaning and the FA is there to analyse and make decisions and no comment.’