PSV closed the gap to Ajax at the top with a 4-2 win over Twente, while AZ Alkmaar beat Feyenoord on Sunday in Eredivisie.
Amin Younes gave Eredivisie leaders Ajax a 1-0 win at ADO Den Haag, while PSV won 2-0 at Feyenoord on Sunday.
PSV Eindhoven edged out Zwolle 3-2 to move level on points with Eredivisie leaders Ajax.
Eredivisie leaders Ajax slipped to a 1-0 defeat at Utrecht on Sunday, while Feyenoord were held to a 1-1 draw at Groningen.
Ajax put five past Heerenveen while PSV Eindhoven moved into second place in the Eredivisie with victory at Vitesse.
Utrecht are taking Swansea to the Court of Arbitration for Sport (CAS) over the transfer of Michel Vorm to Tottenham.
Ajax maintained their three-point advantage over Feyenoord with a 1-1 away draw on Sunday, as PSV Eindhoven jumped into second spot.
Feyenoord lost ground in the Eredivisie title race after a shock 1-0 loss against ADO Den Haag.
There were Eredivisie wins for both Ajax and PSV on Saturday, while second-placed Heracles slipped to defeat.
Feyenoord lost more ground on the Eredivisie leaders after being beaten 2-1 at home by Heerenveen - their fourth straight defeat.
Heracles Almelo moved to the top of the Dutch league with a 2-1 win over champions PSV Eindhoven at the Polman Stadion on Saturday.
Wout Weghorst scored the only goal as high-flying Heracles beat ADO Den Haag 1-0 to climb to second in the Eredivisie.
Feyenoord and Roda JC secured opening day victories in the Eredivisie.
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.
Ajax lost more ground on Eredivisie leaders PSV Eindhoven after they were held to a 1-1 draw by Utrecht.
It was a day to forget for Utrecht defender Ramon Leeuwin as he scored an own goal and was sent off against Ajax.