The NFL is already facing legal action from fans despite agreeing to compensate more than 400 people who turned up to Sunday's game at Cowboys Stadium only to be told they could not take their seats because they were deemed unsafe.

Now the league has offered a sweetener to 2,000 other fans who were inconvenienced by the debacle.

"These 2,000 fans were significantly delayed in gaining pre-game access to their seats due to the problems with the installation of some of the temporary seats at Cowboys Stadium," NFL commissioner Roger Goodell said in a statement issued Thursday.

Goodell said the 2000 fans would be offered either a full refund or a free ticket to a future Super Bowl of their choice, increasing the bill for the seating blunder into the millions of dollars.

The NFL already offered the original 400 displaced fans either $2,400 -- triple the face value of the ticket -- and a ticket to next year's Super Bowl, or a ticket to any future Super Bowl with airfare and hotel accommodations included.

But angry fans have been less impressed by the NFL's offer, filing a lawsuit against the league and Dallas Cowboys, accusing them of breach of contract, fraud and deceptive trade practices.

They are seeking class-action status, more than $5 million of damages and unspecified punitive damages.

(Reporting by Julian Linden; Editing by Frank Pingue)