The FA has held high-level discussions over England playing some friendlies away from Wembley Stadium, Sky sources understand.
This change in policy could begin with two matches next May prior to the start of the European Championships.
It could also turn into a long-term arrangement with more prestigious games being played at Wembley and other friendlies taking place at grounds around the country.
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As it currently stands, Wembley has a contract to host all England home matches, but that could change if Chelsea and Tottenham are successful in their attempts to use the stadium when their own grounds are being redeveloped.
England are planning on playing two warm-up games next May ahead of the finals in France. The exact dates and opponents will be confirmed after the Euro 2016 draw in Paris in December.
England have played all their home games at Wembley since a 1-0 defeat by Spain at Old Trafford in February 2007.
During the redevelopment of Wembley between 2001 and 2007, England played their home fixtures in grounds across the country. Old Trafford, St James’ Park, Anfield, Villa Park and White Hart Lane were among the stadiums used during that six-year period.