Both players protested their innocence following the game, with Mings saying he would "never" purposely stamp on anyone and Ibrahimovic claiming that Mings "jumped into my elbow".
Craig Burley says Man United's tough draw with Bournemouth is an indictment of being too reliant on Zlatan Ibrahimovic.
Jose Mourinho's task, should the suspension be confirmed by the FA this week, will be to find a way for his side to do without a man he has selected for all 25 Premier League games for which he has been available this term.
But the charge will not impact on Ibrahimovic's availability for European games as United travel to Russian Federation this week where they face Rostov in the Europa League.
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Stoke, Burnley, Arsenal, West Ham, Liverpool, Hull, and Bournemouth have all left Old Trafford with a point this season.
Manchester United's draw against Bournemouth may have been overshadowed by the incidents involving Zlatan Ibrahimovic and Tyrone Mings, but it does overshadow the fact that United have now lost yet another chance to gain ground on the Premier League's top 4. We are not dead.
"It is more of the same". The Football Association will definitely be looking at the footage on Monday and it looks certain that both players will miss the next few domestic matches for their teams.
Bournemouth manager Eddie Howe: "When you look at our recent history, sometimes we have to take a moment just to think and reflect and look back (on what we have achieved) because those things are from where you get your strength". Moreover, when he has started as a lone front-man for United he has scored only three goals in 16 matches.