Implementations described herein include headless compression screws and corresponding systems. The headless compression screw has a shaft extending along a longitudinal axis from an insertion end to a driving end. The shaft includes a first portion and a second portion. The first portion extends from proximate the insertion end to a first intermediate point and includes a first thread extending along at least a portion thereof that has a constant pitch. The second portion extends from proximate the driving end to a second intermediate point and includes a thread extending along at least a portion thereof that has a variable pitch that decreases from a first value proximate the second intermediate point to a second value proximate the driving end. Methods of reducing a fracture using headless compression screws are also described.