Vitesse beat Heerenveen 5-2 as they claimed a Europa League place with a 7-4 aggregate win in the post-season play-offs.
AZ claim a Europa League place at the expense of Feyenoord, who were consigned to the play-offs for a place in Europe.
NAC Breda face a relegation play-off, while Manchester United-bound Memphis Depay scored for PSV.
PSV came from behind to extend their lead at the top of the Eredivisie standings, while there were wins for Heracles and Utrecht
Champions Ajax delayed PSV's impending Eredivisie title win for another week as they won 2-0 away at Heracles Almelo.
Five-star PSV close in on Dutch title after comprehensive victory at FC Twente, while Heracles grab dramatic late win
Markus Henriksen netted a late winner as AZ strengthened their grip on fourth place with a 2-1 win over Cambuur Leeuwarden.
Defender Nicolas Isimat-Mirin scored a rare goal to hand leaders PSV a nervy 2-1 home win over Groningen.
Heerenveen's Mark Uth produced one of the misses of the season during Sunday's Eredivisie clash with Ajax.
Ajax staged a late rally to beat PSV Eindhoven 3-1 on Sunday to give their faint title hopes a boost.
Ricardo Kishna struck twice as Ajax beat Twente 4-2 in the Eredivisie to cut PSV's Eredivisie lead back to 12 points.
Stefan Nijland scored in each half as PEC Zwolle moved up to third with a thumping 4-0 win at bottom side Dordrecht.
Heerenveen missed the chance to close the gap on the European places in the Eredivisie as they drew with FC Dordecht.
Eredivisie leaders PSV Eindhoven made it six wins in a row as they beat Cambuur 2-1 on Saturday evening.
Feyenoord beat FC Twente to strengthen their hold of third place in the Eredivisie on Sunday, while Heerenveen won at Utrecht.
PEC Zwolle moved up to fifth in the Eredivisie as they beat ADO Den Haag 3-1 and FC Twente drew 2-2 against Vitesse.
FC Utrecht condemned struggling NAC Breda to a fourth consecutive Eredivisie defeat with a 5-1 thrashing on Saturday.
PEC Zwolle claimed a 2-0 win over FC Groningen in the Eredivisie on Saturday, while ADO Den Haag beat Willem II 3-2.
PSV Eindhoven reasserted their authority with a 3-0 victory at Go Ahead Eagles on Saturday, while PEC Zwolle recorded a 6-1 win.
PSV restored their cushion at the top of the Eredivisie after a 5-1 win over Utrecht, as Feyenoord nudged up to third.