The Boys in Green face Les Bleus in Paris on Monday 28 May before returning to the Aviva Stadium in Dublin to take on the USA on Saturday 2 June.
Alan joins Brentford teammate John Egan in the 27-man squad as he looks to add to his current tally of two international caps, which came either side of a near two-year absence through injury.
After returning from injury in January, Alan made 14 appearances for The Bees, three of them from the start, helping Dean Smith's side to a ninth-placed finish in the Sky Bet Championship.