This paper presents the design of a state convergence based control scheme, for a multi-master-single-slave nonlinear teleoperation system. The control objective is that the slave follows the weighted motion of the master systems, in free motion, and the master systems receive the scaled force feedback, while the slave system is in contact with the environment. To achieve the desired objectives, extended state convergence architecture is modified and appropriate control gains are chosen following a Lyapunov based stability analysis. MATLAB simulations considering a two-degree-of-freedom tri-master-singleslave nonlinear teleoperation system are provided to show the validity of the proposed scheme.