Fearns and Henson have both been punished by the West Country club after the former reportedly punched the Wales centre following a disagreement at a Bath city centre pub.
But the RFU has also asked Fearns to explain himself, releasing a statement which read: "The RFU is aware of the disciplinary action taken by Bath Rugby in relation to the city centre incident involving two of their players last week.
"We have asked one of them, Carl Fearns, a member of the England Saxons EPS in the first half of last season, to attend a meeting with staff at Twickenham concerning his future conduct."
Bath's statement confirming the disciplinary action taken against the two players, read: ''Bath Rugby can confirm that, after a thorough internal investigation, the players involved in last week's incident in the city centre have been dealt with via the club's disciplinary process.''
Nick Blofeld, the club's chief executive, made plain his disappointment at the incident.
He said: ''The behaviour of some of the players was totally unacceptable and not what we expect from them.
''The two players involved have taken full responsibility for their actions and they have both received written warnings and fines, and we regard the case as now closed. We want to see the squad focused on pre-season training, the forthcoming sevens and friendlies, and then delivering on the pitch this season.''
On behalf of the playing squad, captain Stuart Hooper added: ''We would like to apologise as a group. Clearly what happened last week was inappropriate and there is a collective will amongst the players to put that right and not set such a poor example again.''