Enar Jaager has ended his trial without Rangers having secured his signature, while Zlatan Muslimovic has cut short his stay to train with Sunderland.
But trialist midfielders Jorge Claros and Luigi Bruins both featured as Rangers' reserves defeated Carlisle United 2-1 in a friendly on Tuesday.
Bosnia striker Muslimovic turned down the chance to play in preference to joining Martin O'Neill's club on trial.
And Estonia defender Jaager has returned to his homeland.
Rangers manager Ally McCoist had said on Friday he hoped to offer a contract to the 27-year-old, who recently left Norwegian club Aalesunds.
And the 30-year-old Muslimovic, who left Greek outfit PAOK in the summer, had also been earmarked as a possible addition to the squad.
But McCoist told his club website: "Zlatan came in for a day's training yesterday and he did absolutely fine, so we'd have liked him to have played in the game today.
"He was offered the chance to do that, but he and his advisors didn't fancy it and declined, so I believe he has gone to train with Sunderland.
"Although the door is not closed on that one, I have to say from our position that we would have to see a lot more of somebody before we take an opportunity to sign them."
While the chances of Muslimovic signing at Ibrox have deteriorated, McCoist has not given up hope of capturing Jaager despite reports linking the right-back with English clubs.
"Enar is away back to Estonia and we are very hopeful we can put a package together there and make him an offer," said the Rangers maanger. "He's a player who has certainly impressed."
The 25-year-old Claros arrived last week looking to switch from Motagua in his Honduran homeland.
Former Netherlands Under-21 midfielder Bruins arrived at the same time as Muslimovic as the 24-year-old searches for a new club after leaving Austrian outfit Red Bull Salzburg.
"Jorge has been very good," said McCoist. "He has come in, played in a couple of games and trained with us as well, so he has been fine.
"Luigi is a lot newer to things and has just come in in the last couple of days, but we'll sit down and have a chat with both of them and keep watching them."
Meanwhile, McCoist stressed that Rangers had received no bids for Nikica Jelavic, despite initial talks having been held with West Ham about the Croatia striker who has also been linked with Liverpool, QPR and West Brom.
Reports have also linked striker David Healy with St Johnstone and English clubs, while defender Kirk Broadfoot is "catching Bristol City's attention".
However, McCoist added: "We have absolutely not received any bids for Nikica or, indeed, any of our players at all."