Van de Zandschulp defeated Miomir Kecmanovic from Serbia yesterday, but was not strong enough a day later against the British Norrie to make it to the last 16.
Norrie then plays against Yoshihito Nishioka or Felix Auger-Aliassime, depending on who wins the match between the two.
Van de Zandschulp is currently in 25th place in the world ranking.