Soler, 27, joined PSG from Valencia in 2022, and the Spaniard has represented the Ligue 1 champions on 63 occasions, scoring eight goals and registering eight assists in the process.
According to the Daily Mail, West Ham have approached Luis Enrique's side to discuss a deal for Soler, who has another three years left to run on his contract.
Soler came through the youth system at Valencia, making 226 appearances for Los Che, before he left Spain to join the champions of France.
Last season, the midfielder scored twice and registered four assists in 28 appearances for PSG, including two goals and two assists in 24 outings in France's top flight.
Wolves 'considering' Wissa as Neto replacement
Meanwhile, according to journalist Mike McGrath, Wolverhampton Wanderers are eyeing Brentford's Yoane Wissa as a potential replacement for Pedro Neto, who has joined Chelsea this summer.
Wissa was in impressive form for Brentford during the 2023-24 campaign, scoring 12 goals and registering three assists in 34 Premier League appearances.
The 27-year-old has another two years left to run on his contract, but there has been speculation surrounding his future this summer.
McGrath claims that Wolves are considering making an offer for Wissa, with the club in discussions over a potential move before the end of the transfer window.
The attacker joined Brentford from FC Lorient in August 2021, and he has represented his English team on 110 occasions in all competitions, scoring 29 goals and registering eight assists in the process.
Leicester 'make offer' for Ayew
Elsewhere, according to journalist Sami Mokbel, Leicester City have made a £4m offer for Crystal Palace attacker Jordan Ayew.
Leicester have allegedly made Ayew one of their leading targets in the latter stages of the transfer window, and Palace are said to open to letting him depart.
Mokbel claims that a £4m bid has been tabled by Leicester, and it is close to what Palace are asking for in order to let the experienced forward leave.
The 32-year-old was again an important player for the Eagles during the 2023-24 campaign, scoring four goals and registering eight assists in 37 appearances in all competitions.
Ayew arrived at Palace from Swansea City in July 2019, and he has represented his current side on 211 occasions, scoring 23 goals and registering 22 assists in the process.