Ahli marketing director Adli Al-Qaeyi said that both players will fly to England after the national team's friendly against Ivory Coast in France on August 22nd.
"We have received two offers from Middlesbrough for Meteb and Shawki, and the board allowed the players to go on trial," Al-Qaeyi told FilGoal.com.
Al-Qaeyi stated that the African champions received 1.5million Pounds for Meteb and 250,000 for Shawki.
"The offers are negotiable, and if any of the players impressed in the trial, the move is likely to be made in the January transfer window."
Ahli have persistently rejected offers from abroad for the Egypt international duo, but this time the board is unlikely to resist the Boro bids.
The Ahli board's decision comes shortly after Egyptian striker Ahmed Hossam 'Mido' has signed a four-year deal with Middlesbrough.