With the motor going, drop the two cloves of garlic into the food processor and let go until completely minced. Turn the machine off and add the can of tomatoes and the can of chilies, without draining, to the processor. Pulse until everything is broken down but still has some texture. This is a matter of personal preference, if you like it smoother, pulse a few more times. Remove the salsa to a bowl and stir in the lime juice, olive oil, and vinegar.
Stir in the minced peppers, onion, and cilantro and season with salt and pepper to taste. Adjust any of the ingredients to suit yourself. Cover and refrigerate for at least an hour before serving.
For a less spicy salsa remove the seeds and veins from the hot peppers, or leave them out entirely.
For a smoother texture, throw everything in the blender or processor and blitz.