Press Association Sport understands a handshake took place between Chelsea Chairman Bruce Buck and referee Mark Clattenburg during yesterday's meeting.
Chelsea Football Club has expressed regret over the club's handling of the Mark Clattenburg racism allegation in a joint statement issued with the Professional Game Match Officials Ltd and the Premier League.
It added that the club would have "no issue" with Clattenburg refereeing future fixtures featuring Chelsea.
ITV Football reports that Mark Clattenburg will be the fourth official for the Premier League game between Tottenham and West Ham on Sunday.
Alan Leighton, the national secretary of the referees union Prospect, said: "Mark Clattenburg deserves a full and unreserved apology from Chelsea. He deserves compensation for loss of earnings, damage to his reputation and stress.
"In addition, Chelsea should make a sizeable donation to Show Racism the Red Card and Kick It Out to help the fight against racism in football and beyond."
He added: "This was a charge brought on the flimsiest of evidence that should never have got to this stage. The internal inquiry mounted by Chelsea and their QC rested on a dossier of evidence consisting of just one witness statement in relation to the specific allegation against Mark.
"This matter should never have been made public and should have been dealt with confidentially."
Chelsea FC statement: "Chelsea Football Club accepts the Football Association's decision regarding Mark Clattenburg and welcomes the fact that the FA recognises the club and players were correct in reporting the matter.
"The FA states Chelsea took the correct action following the Manchester United match and encourages all players who believe they have been either subject, or witness, to discriminatory abuse to report the matter immediately to the match officials on the day, and in turn to the FA.
After thorough investigation and legal examination, the FA said:
- The evidence of Mikel's team-mate Ramires was not supported by any other evidence
- It was contradicted by other witnesses
- FA satisfied that the allegation against Clattenburg by Ramires was made in good faith
- It is entirely possible for a witness to be genuinely mistaken
Chelsea midfielder John Obi Mikel has been charged by the Football Association for an alleged use of threatening behaviour in or around the match officials' changing room. It follows his side's game with Manchester United on October 28.