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
After the title was taken away from them on Saturday, Ajax were held by struggling NAC Breda at home on Sunday.
Feyenoord moved a step closer to qualifying for the Europa League after a 2-2 draw at Willem II Tilburg in the Eredivisie.
Eredivisie strugglers Go Ahead Eagles have fired head coach Foeke Booy following their home defeat to Vitesse Arnhem on Saturday.
Markus Henriksen netted a late winner as AZ strengthened their grip on fourth place with a 2-1 win over Cambuur Leeuwarden.
Cash-strapped Twente Enschede returned to winning ways in the Eredivisie on Saturday with a 2-0 win over PEC Zwolle.
Ricardo Kishna struck twice as Ajax beat Twente 4-2 in the Eredivisie to cut PSV's Eredivisie lead back to 12 points.
Go Ahead Eagles were on course for a point against second-placed Ajax in the Eredivisie - until a late goalkeeping gaffe...
A calamitous error by Go Ahead Eagles goalkeeper Mickey van der Hart gave parent club Ajax a 2-1 win.
PSV as they scored twice in the last six minutes to defeat Willem II 2-1 on Saturday and extend their Eredivisie lead.
Feyenoord beat FC Twente to strengthen their hold of third place in the Eredivisie on Sunday, while Heerenveen won at Utrecht.
There were wins for the Eredivisie's leading sides on Saturday night - and plenty of goals along the way.
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.
Ajax bounced back from their defeat in Barcelona by beating Go Ahead Eagles in the Dutch Eredivisie, while Willem II won at Heracles
PSV Eindhoven reasserted their authority with a 3-0 victory at Go Ahead Eagles on Saturday, while PEC Zwolle recorded a 6-1 win.
PEC Zwolle lost ground on the Eredivisie's leading pack with a 3-2 defeat away to Go Ahead Eagles.
Heracles claimed their first win of the Eredivisie season with a 6-1 rout of NAC Breda, while Cambuur climbed to fourth.