The 25-year-old attacking midfielder has been in impressive form for Al Hilal since joining the Saudi Arabian outfit and his superb performances haven't gone unnoticed in Europe.
Stuttgart are eager to add another midfielder to their squad due to the departures of Aliaksandr Hleb and Roberto Hilbert at the end of the season and head coach Christian Gross supposedly sees Neves as a valuable addition to his team.
The Schwaben face stiff competition from Leverkusen in the race for Neves' signature though. The Werkself are looking for a replacement for Toni Kroos, who will return to Bayern Munich this summer.
Al Hilal appear reluctant to let go of their star player and it remains to be seen whether Stuttgart or Leverkusen are ready to meet their hefty financial demands.
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