Rangers manager Pedro Caixinha has flown back to Glasgow accompanied by Portuguese pair Fabio Cardoso and Dalcio.
Caixinha arrived in Glasgow on a flight from Lisbon as he moves closer to adding the two new signings ahead of pre-season training.
Defender Cardoso, 23, signed a four-year deal with Primeira Liga outfit Vitoria de Setubal last year.
Benfica forward Dalcio, 21, is expected to sign on loan for the Ibrox side.
Cardoso joined Benfica as a youth player and developed with their 'B' team before a loan spell at Pacos Ferreira and a permanent switch to Vitoria. He played for the Portugal youth team up to Under-20 level.
Dalcio, meanwhile, made his breakthrough at Belenenses before moving to Benfica's 'B' team.
Rangers begin their Europa League campaign on 29 June.