Given is due to resume training in Montecatini, Italy next week after knee injury.
He was in good spirits before Saturday afternoon's 1-0 friendly victory over Bosnia-Herzegovina, which provided their side with a fitting send-off, but Trapattoni and his medical staff know they will have an important decision to make with the final squad list having to be submitted on Tuesday.
Giovanni Trapattoni: "He will have to show us on Monday he is ready. Richard Dunne showed that to us on Friday."