Wales Online reports that Wales will play a series against the current back-to-back World Champions in 2020 after Pivac takes over from Warren Gatland following the conclusion of the 2019 World Cup.
Gatland, who has been in charge of Wales since 2007, is stepping down from the role to return to New Zealand, where he's expected to contend for the All Blacks job, as current coach Steve Hansen confirmed earlier this month he would not seek reappointment after the World Cup.
Wales last toured in 2016 under Gatland, when they lost all three tests - and suffered an embarrassing 40-7 defeat to the Chiefs in a midweek clash.
After observing at the World Cup in Japan, Pivac will take the reins for what is thought to be a December clash against the Barbarians, followed by the 2020 Six Nations
Then will come that tour to New Zealand where Wales have never won in 10 attempts.
Pivac is currently the head coach of Scarlets in the Pro14 competition which features teams from Wales, Scotland, Ireland, Italy and South Africa.
Under Pivac's guidance, Scarlets won the competition in the 2016/17 season and finished runner-up to Leinster the following year.
He is the former head coach of Auckland and North Harbour and also guided Fiji on the international scene between 2004-07.