The Rugby Football Union (RFU) says Joe Marler apologised for making an abusive comment to Wales' Samson Lee and was reminded of his responsibilities as an England player.
A video emerged online in which Marler appeared to call Lee "gypsy boy" during the first half of England's 25-21 Six Nations victory at Twickenham.
The pair squared up to one another during a melee between the two sides, and a spokesperson for Six Nations said tournament chiefs were establishing the facts of the incident.
The RFU has subsequently released a statement, which read: "Joe spoke to Samson at half-time to apologise and he was reminded by [head coach] Eddie [Jones] of his responsibilities as an England player after the game."
Wales Rugby Union (WRU) also issued a comment that said: "We're disappointed by the comment made, and pleased Joe Marler apologised to Samson and was reminded of his responsibilities as an international rugby player."