The injury to Gomes proved a turning point with Son visibly upset even before he was shown a red card.
Allardyce penned an 18-month contract at Goodison Park in November and is hopeful of holding onto his job beyond the end of this season.
Baines was an unused substitute during Everton's 2-1 defeat by Burnley, while Funes Mori featured in an Under-23's game on Monday.
Steve Walsh wants to bring the player who he signed from Fleetwood Town to Goodison Park this summer.
Allardyce has come under intense criticism after overseeing a dreadful run of results and performances since the turn of the year.
Coleman suffered a muscle injury during the win over Crystal Palace, while Baines has missed the last three-and-a-half months with a calf problem.
Tarkowski, one of Burnley's best performer during the first half of the season, has not featured since his side lost narrowly to Manchester United in January.
Everton were keen to monitor the young right-back, who can also play on the left side of defence, but AC Milan quickly warned the Toffees off the young star.
Evans is expected to depart the troubled Baggies at the end of the season and will reportedly be allowed to leave for a paltry £3m fee if Alan Pardew's side suffer relegation.
Since completing his move, 27-year-old Tosun has only made two starts for the Toffees and is yet to find the back of the net for his new club.
Allardyce commended Klaassen's attitude but does not think the former Ajax captain is bettering the "big competition" that faces him on Merseyside.
Silva has failed to make a name for himself at Benfica, who were willing to let the winger leave during the January transfer window.
Newcastle reportedly offered around €8m for Cape Verde international Rodrigues in January while Everton have sent scouts to monitor his performances this season.
Lukaku put in a man-of-the-match performance to help United beat Chelsea 2-1 at Old Trafford over the weekend.
Everton have failed to replace Lukaku's goalscoring threat despite spending hundreds of millions on attacking players in recent months.
Everton were looking for attacking reinforcements in the January transfer window but saw fit to sign Cenk Tosun and Theo Walcott over Promes, who was pursued by Southampton.
Coach Eddie Newton was sent to watch the Turkey international prior to him completing his move to Goodison Park.
Baxter, who has served two suspensions for drug use in his career, was surprisingly offered a one-year deal by Everton last summer.
Stefan de Vrij has been linked with a move to Liverpool, their local rivals Everton and to Manchester United as well.
Everton's Tom Davies, Fulham sensation Ryan Sessegnon and Leeds' Ronaldo Vieira have all been included in the top 20 of the CIES Football Observatory's most promising prospects.
Sandro Ramirez has ruled out a return to Everton in the summer after claiming that he wants to remain at Sevilla for the long-term.
Everton and Tottenham are among the Premier League clubs tracking PSV Eindhoven winger Steven Bergwijn ahead of the summer transfer window, according to reports.