Rangers will pursue Valencia striker John Carew should the Scottish champions progress to the group stages of the Champions League.
John Carew has much experience with Norway and Valencia
But former Napoli forward Arturo Di Napoli has failed to impress sufficiently on trial and will return to Italy.
Rangers sources have confirmed to BBC Sport that they hope to secure the signature of Carew should they overcome FC Copenhagen in the second leg of their qualifying tie on Wednesday evening.
A massive debt burden means that Rangers have been unable to move significantly in the transfer market during the summer.
But qualifying for the lucrative Champions League groups stages - combined with a sizeable fee following the likely departure of captain Barry Ferguson - is likely to release some funds.
Norway international Carew is out of favour at Valencia and French club Lyon are also reported to be interested in the 24-year-old, who still has five years of his contract remaining .
Di Napoli, who was with Palermo in Italy's Serie B last season, played 90 minutes for Rangers' Under-21s against Hibernian on Monday evening.
But Rangers manager Alex McLeish told his club's website that the 29-year-old striker had not done enough to win a permanent move.
"I had a look at him at Easter Road last night, because it's difficult to judge a player just on five-a-side matches in training," he said.
"He featured in the whole match, but I don't think he is any better than the players we already have.
"Therefore, we won't be pursuing an interest."
Meanwhile, McLeish, Ferguson and Rangers chairman John McClelland were refusing to be drawn on the club captain's future as the squad left Glasgow Airport for Denmark on Tuesday morning.
Rangers start the match against Copenhagen as underdogs after a 1-1 draw at Ibrox and McClelland said: "The Barry situation is unconnected to whether or not we get through.
"We did not budget for a long run in the Champions League and not qualifying will not be the difference between making or breaking our business plan."
Ferguson, a lifelong Rangers fan, has requested a move as he has become bored with playing in the Scottish Premier League.
Blackburn Rovers remain favourites to win his signature after promising to increase their offer from the £6m offer rejected by Rangers last week.
Everton boss David Moyes has also expressed an interest that could become more urgent after pulling out of a deal to sign Fulham's £5.5m-rated Sean Davis on Monday because of the 23-year-old midfielder's problem with a knee ligament injury.
The Merseyside club could use the £2m that Rangers still owe them for defender Michael Ball as a lever to match Rangers' valuation of £8m.