They met Foreign Minister Abul Hassan Mahmood Ali at the State Guest House Padma on Sunday afternoon.
The delegation included three members of the British Parliament, Jonathan Ashworth, Shadow Health Minister; Dr. Rupa Huq, Shadow Minister for Home Affairs and Dame Rosie Winterton, Former Minister and Chief Whip.
Others in the delegation were the executive members of LFB including Chair Howard Dawber and General Secretary Syed Abul Bashar.
The delegation also had four British businessmen of Bangladeshi origin.
During the meeting with the foreign minister, they discussed a number of issues of mutual bilateral interest including bilateral trade and investment relations, Bangladesh community in UK and their contribution in British society and economy, visa facilitation, air service and how to combat terrorism and violent extremism.
The issues of regional and international interests were also discussed, the foreign ministry said on Monday.