Rangers manager Ally McCoist hopes to add "four or five" players to his squad before next week's transfer deadline.
The Ibrox club will begin a year-long transfer ban on 1 September.
"There are no signings really imminent at the moment, but the wheels are in motion on three or four targets," McCoist told the Rangers website.
Meanwhile, McCoist has played down speculation linking Birmingham's Morgaro Gomis and Malmo's Daniel Larsson with moves to Rangers.
He said: "We haven't had any dealings with Gomis' club. He's a player that we like but it would be unfair of me to speak about individuals at the moment.
"Daniel is a good player and someone who played well against us last year in Europe.
"He's somebody else's player at the moment and although he's a good player I wouldn't like to comment on somebody else's player."
Former Bayern Munich goalkeeper Rouven Sattelmaier, ex-Siena striker Francesco Stella, released AEK Athens defender Anestis Argiriou and former Boca Juniors midfielder Francesco Celeste have all been training with McCoist's squad.
"We're still monitoring the trialists and they'll be here for another three or four days most of them.
"There is probably one or two coming in over the weekend so we're in a position where we'll keep monitoring and if anyone impresses we'll be in a position to offer them something.
McCoist's summer signings
- Ian Black
- Emilson Cribari
- Sebastien Faure
- Kevin Kyle
- Francisco Sandaza
- Dean Shiels
"We're hopeful that we can certainly get four or five anyway over the line before the window closes."
Several players who worked with McCoist last season elected to leave Ibrox after Rangers, now run by a different company, were placed in Division Three, with the transfer ban a condition of the club being granted a Scottish FA licence.
Dorin Goian, who had been an ever-present in the Rangers team before Tuesday's Ramsdens Cup win at Falkirk, has
joined Italian side Spezia on loan
while Maurice Edu may be joining Stoke City.
McCoist's side won 5-1 against East Stirlingshire last Saturday in front of a packed Ibrox and the manager hopes those kind of crowds will persuade players to be part of his squad rebuilding.
"I wouldn't imagine there are too many clubs that can provide 50,000 fans for an SFL game, or a training facility that competes with anything in Europe," added McCoist.
"The down side is that players do generally want to play at the top level, but up to now we've been fortunate in the players that we've signed because they have been SPL players and very good ones at that."