This document discusses using virtual coupling to increase railway line capacity. Virtual coupling would allow trains to virtually join together by reducing headways. This could transfer achievements from vehicle platooning to railways. The document proposes a vision of virtual coupling integrated with ERTMS Level 3 moving block signaling. Trains would communicate position/speed and follow a desired spacing profile determined by the radio block center. A stochastic Petri net model is presented and simulated, showing virtual coupling could increase train frequency on a high-speed line from 20 to 100 trains per hour by reducing headways from 3 to 0.36 minutes. Compatibility with ERTMS standards is discussed.