Everton are investigating reports of homophobic chanting during Saturday's Premier League game against Chelsea.
The abuse is alleged to have been directed at Chelsea fans during Everton's 3-1 win at Goodison Park.
"Everton is working in conjunction with Kick It Out and has commenced an investigation into homophobic chanting reported during Saturday's Premier League game against Chelsea," a club statement said.
"Both the club and Kick It Out have received reports of a homophobic chant being aimed at Chelsea's fans by a small section of the home crowd.
"Homophobia has no place within our stadium, our club, our community or our game. The club strongly condemns such behaviour and is carrying out a thorough investigation which will include liaison with Merseyside Police.
"Matchgoers who have information relating to any form of discrimination should email reportit@evertonfc.com."
The alleged abuse came during a week in which the Premier League has backed Stonewall's Rainbow Laces campaign in support of gay, lesbian, bisexual or transgender people in sport.
Earlier on Sunday, a 41-year-old man was arrested in connection with allegations of racist abuse during Saturday's Manchester derby.
A video circulated on social media appeared to show a Manchester City supporter aiming monkey chants towards Manchester United players during the Red Devils' 2-1 victory at the Etihad Stadium.
City swiftly issued a statement after the match saying the club was working with Greater Manchester Police, who announced on Sunday morning that the man had been arrested on suspicion of a racially-aggravated public order offence.