Discussions regarding a return match between England and Scotland at Hampden Park have taken place between the respective football associations, Press Association Sport understands.
However, the date for any match is dependent on the qualifying draw for the 2016 European Championship, which takes place in February next year.
The two countries met on Wednesday night at Wembley for the first time in 14 years to celebrate the Football Association's 150th anniversary year, with England coming from behind twice to win 3-2 in front of 80,000 fans.
While there is widespread appetite for the fixture to become a regular part of the international calendar again, particularly north of the border, the Scottish Football Association's friendly strategy for a two-year period will hinge on the European draw to be made in France.
If England and Scotland were drawn together in the same group, then that would obviously negate the need for a friendly fixture.
Prospects of a reverse game in Glasgow were enhanced by the good behaviour of over 20,000 of the Tartan Army in London.