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One of the two colonial squares downtown, with nearby market, beautiful old cathedral, and very good shopping.
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Catedral de la Inmaculada Concepción
Tampico's main cathedral, built in the late 19th century in the neoclassical style.
The other colonial square, surrounded by beautiful buildings adorned with wrought-iron balconies.
Antiguo Hospital Civil De Tampico
A majestic hospital that was abandoned in the 1980s and now is eerily overgrown with trees and weeds. Although not strictly legal, you can explore it, and in fact you may be invited to do so by the on-site restoration workers. There are great views of the city at the top, but be careful! This is an abandoned building with potentially fatal falls. You are at your own risk.
Ex Aduana Maritima/Antigua Aduana Maritima
A museum showcasing the history of Tampico. Guided tours are free, although tips are appreciated. Tours are available in English, but you'll need to check on the times.
Take a 40-minute boat tour amongst the crocodiles and wildlife of the Canal de la Cortadura and the Laguna del Carpintero. The boat launches from the north side of the canal, at the end of 2 de Enero street.
Tampico's Central Park. Don't bother bringing your bathing suit... the lagoon is full of crocodiles! They're easy to spot from the shore; you won't be disappointed.