The Spanish held Florida, South and Central America and some major islands in this period.
Most European nations didn’t have regular uniforms (much) prior to the War of the Spanish Succession (1700-1715). Where they did, each regiment would have its own. That makes it fun.
In the naval realm, sailors were less uniform that soldiers. The tendency for all countires was blue as a coat color. Sometimes finding images from later in the century helps give some idea of what might have been the case in the 1700-1720 era. The figures I bought for a Spanish garrison look a lot like the Spanish sergeant below. He\’s from 1708; no indication of his regiment.
The header image is of Spanish Marines from the period 1700-1745. It is from the Vinkhuizen Collection at the New York Public Library–a great resource for uniform info. The images are sorted by country and time period. The Marines are in the folder 1700-1745: impossible to say what time within that period they represent, except to compare some of the style details to get a better idea.
The Spanish grenadier at right is from the Regiment \”Old Colorado\” in 1710. It gives a good idea of the grenadier headgear.
The plate at left is from the Osprey book, Spanish in North America. The artilleryman at the right wears the uniform of the garrison of St. Augustine, Florida from about the 1740s. Reenactors wear this uniform today. With the coat removed, the appearance in the waistcoat is almost all red.