Referee Mark Halsey has reported both Chelsea and West Brom after incidents in Saturday's clash at The Hawthorns.
Chelsea face charges for confronting Halsey, for manager Jose Mourinho's touchline behaviour and for being late onto the pitch after half-time.
West Brom are also likely to be in the dock with the Football Association.
"Incidents in the 43rd and 63rd minutes of players surrounding and harassing me have been reported to the FA," said Halsey after Chelsea's 2-1 victory.
The first incident in Halsey's report came when Chelsea players surrounded him following a bad foul from Ronnie Wallwork on Claude Makelele, which earned the Baggies midfielder a yellow card.
Then in the 63rd minute Chelsea winger Arjen Robben slid into Jonathan Greening and was sent off - prompting Blues players to surround the referee.
Mourinho responded by offering Halsey ironic applause.
But the Blues camp claim West Brom's Paul Robinson started the problem by running to Halsey demanding a red card.
Robson had several angry exchanges with Mourinho on the touchline.
He was angry after Chelsea came back late for the second half and then felt Drogba tried to get Greening red-carded.
The Baggies boss accused Chelsea striker Didier Drogba of diving following the Midlanders' defeat at The Hawthorns.
"Drogba was trying to get our player sent off, there's no doubt about that," said Robson.
"Mourinho's got his opinion on it, I've got mine, and Drogba dived."
But Chelsea responded by claiming Robson started the problems.
The Blues' director of communications Simon Greenberg said: "We felt that Bryan Robson set the tone for much of this from the first minute.
"He was insulting our players and our bench virtually from the start. After 57 seconds, he was out of the dug-out accusing Damien Duff of diving and shouting at the referee and that general tone continued."
But Robson was backed by former Chelsea player John Hollins and Everton boss David Moyes, who criticised Mourinho's behaviour.
"Over here, in this country, we shake hands at the end of the game and you always invite the managers to come in," said Moyes, following reports Mourinho had ignored Robson's offer a post-match drink.
"They don't need to come in, but I think that's something that the British managers in the main accept, that you come in and have a glass of wine or a beer with them after.
"We're all passionate and we all want to win and we all have to protect our own teams, but I think at the end there's also a wee bit of dignity needed."
Hollins criticised Drogba's antics, telling BBC Radio Five Live: "He does do it quite a lot.
Mourinho and Robson fell out during Saturday's game
"The strangest thing is, you have got two players in that side - John Terry and Frank Lampard - who play every single game committed, get into people, tackle people, score goals, stop goals, and they play every week.
"They are very rarely booked for anything, and yet the guys around them let them down because they give you a bad name.
"All the guy was doing was trying to walk past him, and that's disgraceful. He's trying to get somebody sent off."
Robson felt Robben was unfortunate to be shown a red card but insisted that did not excuse Drogba.
"I think maybe the sending off against Robben was a bit harsh but Drogba was trying to get our player sent off," Robson added.
"Fair play, the referee didn't buy it. Jonathan Greening didn't touch him."
The match atmosphere intensified in the second half after Robson thought the Chelsea players took too long to emerge from their dressing room.
"The bell went ages ago, our lads were out on the pitch and, for whatever reason, Chelsea were very late coming out," said Robson.
"I've no qualms with that - whether that's gamesmanship doesn't really bother me."
And on a bad day for the home side Robson also felt they should have had a late penalty for a challenge on Kevin Campbell.
"I thought it was a definite penalty, which could have got us back in the game," he insisted.