Very nice sword Fernando.
I believe these swords were the Spanish (Portugal) current infantry soldier swords between 1660-1710. Kept longer in the Americas. In a similar function to infantry Waloon types in northern countries. The introduction of the Borbon dinasty probably eliminated them. The first picture is of a soldier of the Guardia Chamberga (1669-1676).
It is possible to identify an evolution for the hilts differentiated from the blades. Similar hilts have different blades, sometimes in flamigerous shape. And similar blades appear with different hilts.
They often have brass pieces of horn or exotic wood grips, something not common in the European counterparts of that period. I think it is not possible to distinguish between naval and colonial weapons (the so-called Caribbean rapiers), because the troops could be moved around, and the navy was often the source of weapons for the colonies.
Some of them have survived with a coat of thick black paint, possibly made with coal and hooves, for rust resistance. Some are even tinned with that aim. This was convenient both for the navy and Caribbean coasts.
Lamina 79 from the Naval Album of Marquis de la Victoria, represents the armament carried by the crew of a Spanish man of war of around c1725s-1735s. There are no cup hilts there, but possibly it is a late period for that.
https://docplayer.es/42280723-Analis...nal-naval.html
PS. I have just found out that the guard print is a 1828 copy of the uniforms in a previous one of 1670. I am searching for the original.
PS2. The original is page 30 of
https://archive.org/stream/teatrodel...e/n29/mode/1up
But I do not see cuphilts there.