Gluten-Free and Vegetarian are on the menu, but the same kitchen also prepares what you avoid, so cross-contamination is possible. Tell staff what you react to, and ask how your dish is prepared before you order.
A Mexican asador on Tooley Street near London Bridge with a wood fire grill. The menu says all totopos, tacos and tostadas use corn tortillas that are 100% gluten free, and it marks vegetarian dishes, but it does not mark each dish gluten free.