Today Staunton, the Rowland family trust, said it did not want to enter dialogue with Dolphin and lowered the threshold required for its takeover to go through from 90% to 50%.
FIH traces its roots to 1852 when its subsidiary, the Falkland Islands Company, was granted Royal Charter status.
The company now also owns an art dealer and the Portsmouth Harbour Ferry Company, but is still the islands’ largest landowner, with nearly 400 acres around the capital Port Stanley.
A Foreign Office spokesman said: “This is a commercial matter between two companies and not for the Foreign Office to comment on.”
The Falkland Islands government said in a statement last night: “The government continues to closely monitor the status of Dolphin Fund’s potential bid. Any proposed change of ownership affecting assets held in the Falkland Islands will be scrutinized for compliance with Falkland Islands Law.”