But the visitors lacked any creativity and urgency after the break, and their poor display was punished when San Marino captain Andy Selva scored with a superb free-kick.
West Ham United halted a recent poor run of form with a 1-0 win against Swansea City at Upton Park -- Andy Carroll heading home in the 77th minute to give the Hammers their first win in five league matches.
With a combination of bad luck and poor defending, Accies contributed to United's second goal when Dixon reacted quicker than Imrie to Andy Graham's defensive header and the left-back's low drive from 20 yards deflected off Martin Canning and past Cerny.