Make the marinade by placing the soy sauce, garlic and ginger in a bowl, and mix well.
Put the steak in a shallow dish and spoon the marinade over both sides. Leave to marinate for 5 minutes or longer if you have the time.
Heat the grill pan and pat the steaks dry with kitchen roll and sear for about 2 minutes on each side for medium rare. Give the meat another minute or so if you prefer it well done. Transfer to a board, cut into thin strips and set aside.
Combine all the dressing ingredients together in a small bowl. Place the noodles in a colander and refresh with cold water before transferring to a bowl. Combine the noodles with the dressing to coat well.
Mix the carrot, pepper, spring onions, mint, coriander (if using) and sesame seeds with the noodles. Spoon into a bowl and top with the sliced beef fillet and juices. Sprinkle with extra mint and red chilli.