Morgan Schneiderlin and Kevin Mirallas were left out of Everton's squad on Sunday after being involved in an incident at the club's training ground a day earlier.
Midfielder Schneiderlin and winger Mirallas were missing from the matchday 18 as the Toffees beat Watford 3-2 at home in the Premier League.
It has been reported that on Saturday the pair's involvement in a session at the club's Finch Farm complex ended early after their attitude was questioned by coaching staff.
This season has seen Schneiderlin notably struggle for form and Mirallas make just one Premier League start, an appearance that ended with him being substituted at half-time, just over a week ago when Everton lost 2-0 at Leicester.
On Sunday the Belgium international posted a message on Instagram, which has subsequently been deleted, that said: "Thank you for all your messages. It's a difficult situation for me.
"But in life there are things much more serious than my personal situation."
Meanwhile, Everton left-back Leighton Baines has praised David Unsworth's efforts as caretaker boss, stressing the win secured on Sunday was "the least" he has deserved.
Unsworth stepped up from the under-23s two weeks ago to take temporary charge following the sacking of Ronald Koeman and oversaw three away defeats before Sunday's result.
Baines, scorer of the decisive goal against the Hornets, told evertontv when asked about winning for Unsworth: "It makes it extra special.
"He has been top-drawer. I've loved the training sessions he's put on and the way he has conducted himself. His talk before the game was special.
"We would like to have given him more, and achieved better results - but we have got him a win, which he deserved, at the least."
