The tequila-based drink traditionally served in a clay pot with citrus and grapefruit soda is called a cantarito.
A cantarito is a Mexican mixed drink associated especially with Jalisco. It commonly combines tequila with grapefruit soda, lime juice, lemon juice, orange juice, and salt, although recipes vary. The drink is served over ice in a small clay vessel also called a cantarito.
The porous clay pot helps keep the drink cold and gives the presentation a distinctive rustic character. Vendors and bars may decorate the rim with salt or chili seasoning. Commercial versions sometimes use prepared citrus mixes rather than squeezing each fruit individually.
A cantarito resembles a Paloma because both use tequila and grapefruit flavors. The difference is that a cantarito typically includes several citrus juices and is identified by its clay-pot presentation, while a Paloma is generally a simpler tequila-and-grapefruit highball. Neither should be confused with sangrita, which is a nonalcoholic chaser.