The Borussia Dortmund goalkeeper, consistently rated as one of the best in the Bundesliga, last pulled on a Germany jersey at Under-21 level but has never received a senior cap.
That could now happen either at Wembley or the San Siro after he was included a 24-man squad for the last international matches of 2013.
"Manuel Neuer remains our clear number one and we also know what Rene Adler or the younger goalkeepers like Ron-Robert Zieler and Marc-Andre ter Stegen can give us," said Low.
"We've been watching Roman Weidenfeller for a long time and his consistently strong performances for Borussia Dortmund in the Bundesliga and the Champions League have been noted.
"We're now looking forward to having him with us and getting to know him better."
For the 33-year-old this represents a late opportunity to stake his claim for a place in the squad for next summer's World Cup, with Low admitting the coming months will determine who will be travelling to Brazil.
"Both in terms of the goalkeepers and also in other positions, now is not the time for us to make decisions," Low said.
"We don't have to name our squad until next May. Between now and then, we're delighted for every chance we get to be able to test things, both tactically and in terms of personnel.
"The battle for places in every single position is definitely going to intensify further in the coming months."
There is no place in the squad for Bastian Schweinsteiger, who is about to undergo surgery on his right ankle.
"I hope and wish that Bastian is completely trouble-free after this operation," Low said of the 100-time Germany international.
"I'm sure he will then get back to his former strength both with Bayern Munich and the national team.
"He's going to be a major player for us, also in view of the World Cup."
Meanwhile, Miroslav Klose returns after missing out through injury last month, but fellow Serie A striker Mario Gomez is still ruled out.
"It's good for us to have Miro back," said Low. "He improves any team."
Having named his players, Low is now looking forward to ending the year on a high.
"Wembley is legendary and it is an amazing experience for anybody to play there," he said.
"Games against England are prestigious matches with an explosive atmosphere.
"It's going to be an emotional ending to a moving year for us in which we excelled on our way to World Cup qualification.
"Now we're looking forwards and looking forward to the coming weeks and months in which we can really make definite plans for the World Cup in Brazil."
Three members of Low's squad - Per Mertesacker, Mesut Ozil and Andre Schurrle - play in the Premier League, although a fourth, Lukas Podolski, misses out through injury.