The visitors had a good chance in the opening five minutes when Luciano Slagveer was left unmarked in the Feyenoord box, but the striker could only slice the ball wide.
There were chances at both ends early in the second half, but both Slagveer and Te Vrede curled their efforts wide.
Despite being a man down, the visitors managed to break the deadlock seven minutes after the red card as Ziyech curled a free kick beyond Mulder into the top corner.
The lead was short-lived though, as it took Feyenoord just three minutes to find the equaliser, with Te Vrede heading in from close range from a Boetius delivery.
Boetius tried to set up a winner for the hosts inside the final 10 minutes, but Tonny Vilhena could only head wide from close range, ensuring that the sides finished level.