SUBSTITUTE Lee Stevens resuced a point for Calne after Warminster's Ronald Eugene had threatened to snatch victory for the lowly visitors.
The home side went close early on as Jordan Roberts ' shot was deflected goalwards by Dan Lardner but saved.
Lardner again went close with efforts that hit the side-netting and bar respectively and Rory Worthington was also close.
The visitors were livelier in the secnd period and took the lead on thehour as Lewis Graham beat Steve Hale low to his right after a solo effort.
In a flurry of late action, Calne equalised when Dan Jones' head met Lardner's free kick.
In the 88th minute, Warminster restored their lead when Eugene lobbed keeper Hale from 18 yards.
But Calne grabbed a point as Stevens got his head to the ball.
MORE FOOTBALL REPORTS, REACTION & PICTURES IN THURSDAY'S GAZETTE & HERALD AND FRIDAY'S WILTSHIRE TIMES