Named in New Zealand's squad for the 2010 Under-19 Cricket World Cup, playing in one game,[4] Blundell made his first-class debut in 2013.

[6] In January 2017 he was added to New Zealand's Twenty20 International (T20I) squad as their wicket-keeper for their third match against Bangladesh, after Luke Ronchi was injured.

[8] In January 2017, he was added to New Zealand's One Day International (ODI) squad as their wicket-keeper against Australia, but he did not play.

[18] In January 2020, Blundell was named in New Zealand's One Day International (ODI) squad for their series against India.

[20] On 2 December 2020, he was named as wicket-keeper for the Test squad for their home series against West Indies, replacing BJ Watling, who suffered an injury.