In a small bowl, combine tamarind paste, chili sauce, soy sauce and lime juice. Put ginger, chili pepper in this sauce and add a little black pepper.
Pour the squid with prepared ginger sauce, mix well, cover and place in the refrigerator for one hour.
In the meantime, preheat your barbecue or grill pan. Put the squid on a heated surface and fry for about 3 minutes on each side, brushing with marinade.