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Heat the vegetable oil in a large skillet over high heat. When the oil begins to smoke lightly, shut off the heat to avoid splattering, add the meatballs in a single layer and spread them somewhat apart so they have a chance to brown instead of steam. You may need to do this in batches. Brown the meatballs, over high heat, turning them so they brown all around. Treat them like hamburgers and cook them until they are medium-rare, about 3 to 5 minutes. Touch them to make sure they are still tender in the center. Use a slotted spoon or spatula to remove them from the pan to a tray and cook off the remaining balls, if needed.
Add the meatballs to the hot tomato sauce and allow them to bubble slightly and simmer over very low heat for a few minutes. Shut off the heat and allow the mixture to rest for a few additional minutes before serving.