Donald Trump has refused to rule out a potential rapprochement with Scottish Muslim groups.
Senior figures at mosques in Edinburgh want the US Presidential hopeful to learn more about their faith and culture.
The Republican nominee, who has been widely criticised for remarks he has made about Islam, is due to visit Scotland later this month.
The controversial tycoon is scheduled to relaunch his Turnberry golf course and hotel in South Ayrshire after it underwent a £200million revamp.
But he has come under increasing pressure in recent days to accept the invitation from a number of mosques.
Scottish Liberal Democrat leader Willie Rennie said people “will think he is afraid of coming face-to-face with people he has trashed”, if he declines to attend.
Last night, his spokeswoman in New York declined to comment when asked by the Press and Journal if Mr Trump would meet the groups.
More than 1,000 people have signed a petition urging the presidential hopeful to accept the invitation.
Mr Rennie said: “Unless he accepts this invitation people will think he is a coward who is afraid of coming face-to-face with people he has trashed in the press for months.”
The Annandale Mosque, the Roxburgh Street Mosque and Cultural Centre, the Blackhall Mosque and the Turkish Mosque and Cultural Centre have all extended invitations to Mr Trump.
Hafiz Ghafoor, of Annandale Mosque, and Munawar Hussain, secretary of Roxburgh Street Mosque and Islamic Centre, said in a statement: “Before he makes another inflammatory speech, Mr Trump should learn more about the Muslims that he offends almost every time he opens his mouth.
“We would welcome the opportunity to show him the work that we are doing in the community in Edinburgh when he comes to Scotland later this month.”
The public petition will be delivered to Mr Trump’s organisation in Scotland, while the organisers also said they would fly a plane over his golf course during the visit to ensure he gets the invitations.
