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.
The account of this voyage of discovery is very vague, and the various writers on the subject do not entirely agree.

This is due, perhaps, to the fact that Alvarado abandoned the enterprise from the start, and went to the conquest of Quito, in Peru, leaving the sole command to Grijalva.
It appears certain, however, that Grijalva visited many islands on the north coast of New Guinea, and one, in particular, called _Isla de los Crespos_, Island of the Frizzly Heads, at the entrance of Geelvinck Bay, near which a mutiny occurred, and Grijalva was murdered by his revolted crew.
His ship was wrecked, and the expedition came to an end, a few of the survivors reaching the Spice Islands in 1539.
Most of the names given during the course of the exploration are difficult to locate.
Besides the various place-names mentioned by Galvano, _Ostrich Point_, the _Struis Hoek_ of later Dutch charts, is, perhaps, a reminiscence of this untimely voyage.
A casoar, or cassowary, would, of course, be called an ostrich, and here we have for the first time in history a picturesque description of that Australasian bird.
Galvano's translator says: "There is heere a bird as bigge as a crane, and bigger; he flieth not, nor hath any wings wherewith to flee; he runneth on the ground like a deere.

Of their small feathers they do make haire for their idols.".