These performances earned him selection for the Australian Second XI tour of New Zealand under Bill Brown. Most of the matches were not first-class, and in one match at Wairarapa, he showed his all round skills by taking all ten wickets for 29 and then made an unbeaten 157, helping Australia to a win by an innings and 466 runs. In the only international match against New Zealand for the tour, Davidson made a duck and took 0/36 in the first innings. He then took 4/24 in the second innings, including the wickets of Bert Sutcliffe and Verdun Scott to help instigate a collapse. The hosts were 9/76, only eight runs ahead, when time ran out. He ended his maiden tour in Australian colours with nine wickets at 18.22 and 18 runs at 6.00 in three first-class matches.