The following year, in May, 1529, in another attempt to reach New Spain, he again coasted along the northern shores of New Guinea; he then sailed to the north-east, as in his previous voyage, and discovered some islands which he called Los Pintados, from the natives being painted or tattooed.

The people were fierce and warlike, and from a canoe boldly attacked the ships with showers of stones thrown from slings.

To the north-east of Los Pintados several low inhabited islands or atolls were discovered, and named Los Buenos Jardines, "The Good Gardens."

Saavedra cast anchor here, and the natives came to the shore, waving a flag of peace; they were light-complexioned and tattooed. The females were beautiful, with agreeable features and long black hair; they wore dresses of fine matting. When the Spaniards landed, they were met by men and women in procession, with tambourines and festal songs. These islands abounded in cocoanuts and other vegetable productions.

From the Good Gardens Islands they set out again towards New Spain.

On the 9th of October, 1529, Saavedra died; and the next in command, vainly attempting to make headway in an easterly direction, returned once more to the Spice Islands.

The remnant of Saavedra's expedition reached Spain, by way of the Cape of Good Hope and Lisbon, seven years later, in 1536.

According to Galvano, the Portuguese historian, Saavedra's discoveries in 1529 were more extensive than in 1528. He says the Spaniards coasted along the country of the Papuas for five hundred leagues, and found the coast clean and of good anchorage.

The year that witnessed the return from the Spice Islands of the survivors of Saavedra's expedition, 1536, witnessed also the sailing of another fleet sent out from New Spain by Fernand Cortez to discover in the same waters.

It consisted of two ships commanded by Grijalva and Alvarado.