Umberto Primo Calcinai (2 February 1892 – 26 July 1963) was a New Zealand rugby union player.
Of Italian descent, Calcinai represented Wellington at a provincial level, and was a member of the New Zealand national side, the All Blacks, on their 1922 tour of New South Wales.
His preferred playing position was wing-forward, but all five of his matches for the All Blacks on the 1922 tour were as a hooker.