Morrice played for Te Puke Sports Club in the Bay of Plenty province in New Zealand.[3]
As part of a deal between the Chiefs and the Hong Kong side, Morrice played for Hong Kong Scottish.[4]
Morrice joined Ayr in November 2018.[5] In the 2018-19 Ayr won the Scottish Premiership and the Scottish Cup.[6]
Ayr now play in the Super 6 league as the Ayrshire Bulls. Ayr's Head Coach Peter Murchie stated: "It is great news that Lars is signed up for the Ayrshire Bulls. Lars made a big impact for Ayr RFC last season and it is great to see another Scottish-qualified talent want to stay in Scotland.
"Lars is training with Glasgow Warriors at the moment, which is great for his development and I am sure we will see the benefits of that this coming season."[7]
After impressing at Te Puke, Morrice played for Bay of Plenty Steamers.[4]
While with the Steamers, Morrice was signed to the Chiefs development squad.[3]
Morrice joined Glasgow Warriors in the 2019-20 preseason; having trained with club over the summer.[4][8]
He made his debut for Glasgow Warriors against Ulster Rugby on 7 September 2019, coming off the bench in a pre-season match at the Kingspan Stadium. Ulster won the match 50 - 19.[9]