Cochinita pibil, the long-roasted tender pork that’s a classic of Mayan cuisine, is a signature dish at Mayan Cafe. October 20, 2020 750 × 536 Cochinita pibil at Mayan Cafe takes us straight to Yucatán Cochinita pibil, the long-roasted tender pork that’s a classic of Mayan cuisine, is a signature dish at Mayan Cafe. Cochinita pibil, the long-roasted tender pork that’s a classic of Mayan cuisine, is a signature dish at Mayan Cafe.