After the Europeans reached the New World, Japan, under Tokugawa Ieyasu, did wish to start direct trade with New Spain (Mexico). The isolationist Spanish were very worried about this and sought to make sure it didn't happen.

Nevertheless, a Spanish return voyage to Acapulco in 1610 was with a ship made in Japan. Most of its sailors were Japanese, and aboard were also merchants and an ambassador to meet the viceroy of New Spain.

A few years later, in 1613, Date Masamune set out on another Western-style ship made in Japan, the Date Maru or [San Juan Bautista](http://en.wikipedia.org/wiki/San_Juan_Bautista_(ship), to Acapulco, and then later on to Rome. Some of the Japanese were allowed to stay and trade in Mexico, but they were treated with extreme suspicion, all but 7 were disarmed, and they were told never to return to Mexico. Spain basically wanted no more Japanese to set foot in Mexico again.

In spite of the hostile welcome, in 1616, Date Masamune decided again to send a ship with goods to Mexico. They were able to unload their cargo in Acapulco before the authorities found out of their arrival. When they did learn of it, they told them explicitly that Japan was forbidden to make such voyages. That would be the last to the New World until the 19th century.

Schurz, William Lytle. The Manila Galleon, 1939.

EDIT: typos