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.
The Football Association is refusing to comment on the prospect.
However, it too will need to analyse the spare dates in the FIFA calendar once the Euro 2016 draw is made next spring.
England tend to be one of the more popular opponents for friendly matches due to the huge interest they generate.
It has also been pointed out privately that it was the FA who pushed for last night's game to be played as part of their 150th anniversary celebrations.
The Scottish FA's Security and Integrity Officer, David Brand, today paid tribute to the Tartan Army for their "impeccable" behaviour before, during and after the game and claims it has opened the door for a return game in Glasgow.
Brand co-ordinated the Scottish FA's security provision for the game and having received a full debrief from his FA counterpart, Police Scotland, Metropolitan Police and the British Transport Police, believes the reputation of the Scotland fans was enhanced further by the behaviour of the 20,000 travelling fans in and around the stadium.
He said: "Firstly, on behalf of my colleagues at the Scottish FA and the network of people responsible for the security provision around the game I would like to thank the supporters for showing their passion and commitment in an exemplary manner.
"In speaking to all relevant authorities last night and again this morning, the general consensus is that the Scotland fans' behaviour throughout was impeccable.
"We had 20,000 fans travelling to London and we have only been alerted to two arrests for minor offences outside the stadium: I think that statistic alone is testament to the fun but respectful manner in which the Scotland supporters travel.
"I know the fans would like to see the fixture played more regularly and I firmly believe that the excitement created in London and the atmosphere generated inside Wembley can only enhance the prospect of a return match at Hampden Park in the not-too-distant future."
Hamish Husband, spokesman for the West of Scotland Tartan Army, welcomed the prospect of a reciprocal game in Glasgow but believes the return of the fixture should be only on a semi-regular basis.
He told Press Association Sport: "I was pleased with the turn-out from the Scotland fans and they were up for it at Wembley.
"I enjoyed it and Scotland made the game by having a real go.
"The atmosphere in London was great, the England fans mixed pretty well with the Scotland fans and I hope and trust that welcome would be reciprocated in Glasgow
"But I don't think I would want it every year."