Soriano, 25, scored an impressive 32 goals for Barcelona B in the Segunda Division last season and has caught the eye of Swansea manager Brendan Rodgers following the club’s promotion.
Now Jenkins will meet with Soriano’s agents in an attempt to convince the player to join the Welsh club.
“I will be meeting with the representative of a player that we feel will be perfect for Swansea City,” Jenkins told the South Wales Evening Post.
“He has the talent that would fit in to the style in which we believe in, and we are hopeful of him coming here.
“By flying out to meet his representative, I hope we can agree a deal within the next few days. We will talk about what we want to achieve as a club, and what the player wishes to achieve too.”
When asked if Soriano was the target, Jenkins added: “I think Brendan likes him, and I don’t think anything has happened with him yet this summer.”
Eurosport