Track reconstruction for the Vertex Detector at NA61/SHINE experiment is based on the Hough Transform algorithm with linear and parabolic parameterization. Magnetic field makes the Hough Transform more complicated, but on bright side curved tracks may allow for momentum measurements. Currently, algorithm assumes tracks originate from close proximity to primary vertex. Improvement of the algorithm with intercepts (e.g. 5-dimensional) that allows for reconstruction of secondary tracks is currently being investigated.