This paper presents a control method to reduce overvoltages due to three-phase reclosing for shunt compensated transmission lines (TL). The method detects the first minimum region of the voltage beating across the circuit breakers after protection dead time and works independently of voltage zero crossing, reducing significantly the reclosure time. Based on the proposed method, a controller was implemented and tested on a Real Time Digital Simulator (RTDS). Finally, a parametric evaluation is presented taking into account a large variety of compensation schemes, the transposition influence and the performance of the proposed method compared to the traditional pre-insertion resistor approach and another existing control method.