De Boer had drawn three and lost one of his opening four games since taking over from Ronald Koeman but Wijnaldum’s double helped the Dutch keep their Nations League hopes alive with a 3-1 win over Bosnia & Herzegovina.
They remain a point behind League A Group 1 leaders Italy, who beat Poland 2-0, with Chelsea midfielder Jorginho on target from the penalty spot, and Roberto Mancini’s men can clinch qualification for the finals by beating Bosnia on Wednesday.
Former Tottenham midfielder Christian Eriksen converted two penalties, the second a dramatic 92nd minute winner, as Denmark overcame struggling Iceland 2-1 to set up a final day decider against Belgium in Group 2, with Roberto Martinez’s side having beaten England 2-0 in Leuven.
Wales remain top of League B Group 4 after David Brooks’ header secured a 1-0 win over Republic of Ireland and set up a decider against Finland in Cardiff, where a point wil be enough to clinch promotion.
Elsewhere in League B, Everton’s Cenk Tosun and Leicester winger Cengiz Under were among the scorers as Turkey beat Russia 3-2.