Hazelwood firemen remained off the job after a Sunday morning meeting between city and union officials failed to resolve a dispute stemming from the dismissals of two firefighters. Both sides offered compromises to end the strike which began Saturday afternoon, but both suggestions were rejected. Through the first day of the strike, the substitute fire department devised by Hazelwood officials went untested although several false alarms were received. Police reported no incidents involving pickets by strikers. City Manager Steven J. Harris said he offered to forego disciplinary action against the striking firemen if they would return to work, but that bid was rejected by Richard T. Walker, president of Local 398 of the International Association of Fire Fighters.