In the case of French Louisiana, there was a bit of a love and hate relationship with the native population. Their success as a world power in this point of history (1700-1760) relied deeply on an alliance with their non-imperial natives. Intermarriage was extremely common for French settlers and soldiers. French or  Canadian Women within the first few years of settlement of Mobile, the first capital of Louisiana were rare, and men would often take wives as they saw fit. However this should be seen as the colonial men having the upper hand over an oppressed women of the various tribes of the chocktaw, Chickasaw, Mobilians, and Tomeh. Most native women would accept their marriage with a French settler as it would mean better trade relations within their family or tribe. Indian slavery was practiced by the French as a form of bonding with their allied chiefdom. When natives were at war with each other, the winning party would keep the losing sides women and children and place them into slavery. These slaves would eventually make it to the French trading posts. Indian slavery however should not be seen the same as chattel labor from Africa, Indians would be brought into the family and be raised as a settler. Intermarriage was common this way, as slave women would marry French men. Religion was the only optical that forbid settlers from sleeping with the local tribes. They had feared that they would ‘ go savage’ if a man was to kind to them. But on the Louisiana frontier, strict religion and law were hard to find. Thus making it okay to marry an Indian wife. Also it's interesting to note that most baptisms records in Mobile include name changes by their local tribes. The issue of Metissage (mixed) children is another story.

DuVal “Indian Intermarriage and Metissage in Colonial Louisiana” The William and Mary Quarterly 65 (2008): 267-304

Also considering my Masters thesis in this area.

Based on a hazy recollection of a remark a professor of ours made 20 years ago, the Portuguese were not trying to settle these lands so there were no women on their voyages. What they were basically trying to do was set up a chain of trade posts on the way to India. Which was the reason what Portuguese men were left behind in Goa or in their outposts along the African coast were actively encouraged to marry into the local population. So this was an exception, at least before we get to the major Empire-building and settling effort in the late 19th century.