Michael Venus with a world ranking of 41 and Marcus Daniell ranked 56 are expected to be far too strong for Pakistan captain Aqeel Khan and Akbar.
Statham had given New Zealand the perfect start on a record breaking day for the 29 year old.
The Kiwi number two marked breaking Onny Parun's Davis Cup record 25 ties with a crushing straight sets win over Pakistan number two Mohammad Abid Ali Khan Akbar.
"It was a great match and I played really well the first two sets with error free tennis." Statham said.
But he revealed he was struggling with cramp in the third set and had been touch and go to play in the tie.
"It's been a crazy ride getting prepared for this tie it seemed the tennis gods didn't want it to happen. Last week in Toronto I got sick and had had a tonne of matches in a row and was looking doubtful for the tie. I pulled my back in Toronto and literally couldn't walk. But the team physio has been amazing and has worked on me the last four days to get me ready." Statham said.
New Zealand captain Alistair Hunt praised both Statham and Tearney for their dominant performances.
"Rubin is just an old servant of the game and is doing well and it was fantastic to get the job done. Finn coming out, your hardest win is your first win and he's got a big future going forward."
The doubles rubber will start at 3pm tomorrow.
For score updates during the tie follow Tennis NZ on Twitter @tennisnz