Estonian defender Enar Jaager and Honduran midfielder Jorge Claros trained with Rangers' first team on Monday with a view to earning moves.
Rangers boss Ally McCoist is attracted by the experience of right-back Jaager, 27, a free agent after leaving Norway's Aalesunds, and Motagua's Claros, 25.
"Jaager and Claros have international pedigree," he told the club website.
"We are keen for them to join the set-up so we can look at them in training and in a closed-door match as well."
Rangers are short of options at right-back, with Steven Whittaker and Kirk Broadfoot injured, and McCoist is keen to assess Jaager's suitability in his week-long trial as cover for the pair.
"Jaager has 80-odd caps for Estonia and played the vast majority of their Euro qualifiers, including two against Ireland," said the manager.
"Claros is the same so both are very keen to come in.
"We are very open-minded about these things and hopefully we can take something from it.
"There's no pressure on anybody and that's the most important thing when boys come in on trial.
"You want to make them feel welcome and wanted so that they can enjoy being here.
"It is important they can express themselves and, if we like what we see and they enjoy the club, then maybe we can take it a step further."