Fulham have identified two candidates "in particular" to replace former manager Marco Silva, vice president and director of football operations Tony Khan said.
Silva, a Portuguese, left Craven Cottage earlier this month after five years to join Benfica, replacing Jose Mourinho, who was rehired as Real Madrid manager.
Last week, BBC Sport reported that Fulham were in advanced talks with 43-year-old Spaniard Alvaro Arbeloa for the role, while Frank Lampard has also been linked to the club. The former England midfielder, 47, led Coventry City back to the Premier League last season after lifting the Championship title.
Speaking to FFCtv, Khan said Fulham expected Silva, 48, to sign a new contract to stay.
But in the search for his successor, the American entrepreneur added: "There have been a lot of names mentioned and it's interesting because it's going very well and there have been some great conversations in particular.
"We have some people that the board is talking to who are very interesting and challenging candidates. There have been names that we've been linked to, where it was said that they were the frontrunners or that there had been conversations, but they were people that we've never talked to or even had a conversation with."
Fulham are also known to have held talks with Kieran McKenna, who left his post as Ipswich Town manager following their promotion to the Premier League, saying he wanted to take a break to spend time with his family.
Khan added: "There have been some rumours, but at the same time, we have had a lot of conversations and meetings. We are actively talking.
"There are two candidates in particular who have had multiple meetings with the board that we really like, but we're open to further conversations and talking to other people. We're working through that process right now."
Fulham finished last season 11th in the table, missing out on a European place by two points.
Arbeloa, a former Liverpool and West Ham defender, took charge of Real Madrid on a temporary basis at the end of last season, having replaced Xabi Alonso - appointed as Chelsea's new manager - midway through the season.
After a successful 13-year career at Stamford Bridge, Lampard began his managerial career at Derby, before moving to Chelsea, Everton and finally Coventry in 2024.
