Manchester United target Edinson Cavani is poised to move to Old Trafford on a free transfer having left Paris Saint-Germain earlier in the summer.
And the Red Devils hope signing him will be a risk worth taking.
The Evening Standard say Cavani has told Solskjaer he has unfinished business at the highest level.
The 33-year-old was deadly during his time at PSG, finding the net 200 times from 301 matches across all competitions.
And whether United add to their ranks, regardless of the arrival of the Uruguay international, remains to be seen.
Meanwhile, speaking ahead of United’s clash with Tottenham on Sunday afternoon, Solskjaer has taken aim at previous bosses and blamed them for the club’s erratic transfer strategy.
“It does come into it because when you sign players you go into a thorough process to make sure the ones you bring in are right for the club,” he said.
“It’s easy to pick out the best players in the world. Every clubs knows about them. The process in recruitment and scouting is vital to make sure that when you invest money it is well spent.
“I think the process – and the people we have involved to monitor and identify players are doing a good job.
“When I came in, my view was that we had to give young players a chance, that we had to see if we could find something in our own ranks – and that has worked well.
“We’ve also lost a few good players who have gone on to do well at other clubs, but we felt that moving forward we wanted to go in a different direction.”