The Boys in Green boss raised doubts over the desire of the Norwich City midfielder to play for Ireland after revealing that he had received 'no contact' from him
Speaking at the squad announcement for his team's upcoming friendly against Greece, the Italian tactician fielded questions with regard to the non-inclusion of the Canaries winger, but Trapattoni stressed that the onus lay with Pilkington.
"I sent SMS but at this moment we have to ask as we need to make the passport," Trapattoni told reporters. "We have doubt situation. He has good quality but we need time.
"Until now he must answer us. It’s not the first time. There is no contact, he is not our player," he added.
Pilkington, 24, was born in England, but qualifies to play for Ireland through his grandmother. He has previously played for the Boys in Green at under-21 level, making his first and only appearance against Lithuania in October 2008.
However, he has not played for Ireland since then and as such doubts have arisen as to his ultimate intentions at international level.
The attacker's Norwich City team mate, Wes Hoolahan, was also named in the squad and Trapattoni has revealed his intentions to attend this weekend's tie between the Canaries and Stoke City.
The Republic of Ireland will take on Greece at the Aviva Stadium on Wednesday November 14.