Reece is eligible to represent Gibraltar through a grandparent.
Gibraltar are competing in Group G, comprising the Netherlands, Norway, Turkey, Montenegro and Latvia.
Friday sees Gibraltar host Montenegro before a daunting match away to the Netherlands on Monday, 11th October.
Gibraltar wrap up their qualifying programme next month with a visit to Turkey on November 13th and a home game against Latvia three days later.
Check out @GibraltarFA for more information.
Reece missed last night's League Cup win over Coalville following his call-up and Ben Usher-Shipway was also unavailable for selection as he was serving a one-match ban for his sending off against Rushall seven days earlier.