Nikola Kalinic had been lined up for a £6million move to Portsmouth only for the deal to collapse over how the fee would be paid.
Sam Allardyce confirmed after Rovers 2-2 draw with Sheffield Wednesday on Saturday that he is hoping to bring in Kalinic.
"We are trying really hard," said the Rovers boss in the Sunday Mirror. "It's not just him. We hope to get another one in if we can."
The 21 year old's agent Tomislav Erceg is expecting the young hot shot to join Blackburn after confirming a deal with Pompey is now off.
Erceg said in The News: "When we arrived in Portsmouth on Tuesday, they told us to wait until Friday morning. We didn't want them to play games with us so we decided to leave straight away for London.
"In the meantime, we received a concrete offer from Blackburn, who were since the beginning interested. So we immediately left London for Blackburn.
"They greeted Kalinic like a true star. They are expecting big things from him this season."
Hajduk Split president Mate Peros said: "Blackburn was the best one of all the offers we have received to date.
"Very quickly we finished the talks with the club."