Second-seeded Wawrinka moved on with a 6-3, 7-6 (10-8) win over Italian Paolo Lorenzi.
He'll next face Chardy, who bested Romanian wild card Marius Copil, 7-5, 6-4 to gain the quarterfinals at Autotron Rosmalen.
Their meeting will ensure only one seeded player will make it through to the final four at the Dutch grass-court Wimbledon tune-up.
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