Middlesbrough are in talks with PSG for Jese.
PSG have made the Spanish striker available this month, with Roma and Las Palmas both in contact.
TMW says Boro are also in contact and want a deal done this week.
Jese favours a move to Las Palmas, but they cannot compete with Boro's spending power.
The Teessiders are willing to splash out on an immediate permanent deal, while both Las Palmas and Roma would prefer a loan arrangement.