The second annual Trans-Atlantic Cup soccer tournament, threatened with cancellation two days before its start by the pullout of the Soviet team, Donetsk Shakhtyor, was given new life yesterday.

Officials of the North American Soccer League, the tournament's sponsor, informed the Cosmos and the Seattle Sounders that Glasgow Celtic, 32 times the Scottish League champion, had agreed to play in the series of round-robin matches, beginning Sunday against the Cosmos at Giants Stadium. The tournament officially gets under way Saturday at the Kingdome in Seattle, with the Sounders facing Southampton of England.

The teams will switch sites next week, with Glasgow Celtic traveling to the Kingdome to face the Sounders Tuesday and Southampton facing the Cosmos at Giants Stadium Wednesday. The tournament will conclude with a doubleheader July 19 as the Cosmos meet Seattle for the first time this season and Glasgow Celtic and Southampton play.

The Cosmos decided Monday that they were not going to give in to the Soviets on the issue of Steve Wegerle, a native of South Africa who starts for the NASL team. The Soviets insisted the Cosmos not include him on the roster because of United Nations sanctions against South Africans in athletic competition.