Murrayfield last hosted NFL Europe American football in 2002
The NFL is considering taking a regular season game outside London, with Edinburgh favourite as a future host.
NFL officials met Scottish organisers ahead of Sunday's London game.
Wembley has not yet agreed a deal to stage the 2009 game, with Cardiff's Millennium Stadium also thought to be an alternative possibility.
"I think it's likely we'll be there in two or three years, rather than next year, said NFL UK chief Alistair Kirkwood of moving from Wembley.
"We have good relationships with Murrayfield Stadium and the Scottish Rugby Union."
Maybe in a couple of years' time we stand a better chance if we've had two or three successful games in London under our belt
NFL UK chief executive Alistair Kirkwood
After the New York Giants and Miami Dolphins played the first ever regular-season game outside the Americas at Wembley last October, the NFL committed to playing three further games in Europe over the next three years.
The first of those saw New Orleans beat San Diego in a thrilling encounter on Sunday.
The league has already sent an inspection team to Murrayfield, which last hosted American football in 2002 during the tenure of NFL Europe's Scottish Claymores.
With stadium owners Scottish Rugby Union open to a return, as well as interest from tourism and local government authorities, prising a game away from London has become a genuine possibility.
But economic factors and logistical issues will form a major part of the discussions surrounding the feasibility of any future event.
Kirkwood admits that it is more likely that other venues will be considered for 2010 or 2011, if the concept continues to be a success.
"It's a work in progress and maybe in a couple of years' time we stand a better chance if we've had two or three successful games in London under our belt and we can actually say with some degree of certainty that it would work for the league."
"The last thing I want to do is commit to putting a game there, and because of circumstances outside of Scotland's control, it's perceived as not being a success.
"We'd have to make sure it was all set up so that the teams were extremely happy with the logistics and the financials."
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