And if so, what were their reactions? Some sort of Paris-Syndrome-like reaction?
Yes.
Jacques Cartier for instance brought back with him the 2 sons of chief Donnaconna on the return leg of his first trip to Canada, wishing they would learn some french so he could have interpreters "for later", and also as corroborating evidence he had reached a new land. He brought the 2 sons back on his second voyage, but left with Donnaconna himself and a few others; these never came back to Canada.
Donnaconna lived the remainder of his days in France from 1536 to 1539, leaving behind very little info. He and his associates were converted to catholicism and baptised. It is also known that he was introduced to François I^er and instrumental in motivating the implantation of a colony in New France, notably by telling tall tales of the "Royaume de Saguenay" which appealed to the greed of François I^er (gold, jewels and those tropes). Apparently he was extensively debriefed by the "père André Thévet", who wrote a rather fanciful "history of the new world", but where several local terms (Anticosti, Tadoussac, Miramichi, etc.) appear for the first time which suggests he had a well informed source knowledgeable of Canadian toponyms which tends to corroborate the notion he had contact with Donnaconna.
Sources:
The history of New France, by Marc Lescarbot
Voyage de Jacques Cartier au Canada, by Jacques Cartier
La ville de Québec sous le régime français, by Pierre-Georges Roy
Les singularités de la France Antarctique, by André Thévet (but under caution of the preceeding)
The Fransiscan Recollect missionaries in New France sent an eleven year old Innu boy named Pastedechouan to France in 1620 for religious instruction. He lived in Angers, learned French and Latin, and was baptized as a Catholic in 1621. After spending five years in France and essentially coming of age there, Pastedechouan begrudgingly returned to Canada, where the Recollects hoped he would help them convert more of the Innu. Ultimately, however, instead of succeeding as a mediator between the two cultures, Pastedechouan found himself caught between them and finally alienated by both, until he reportedly died alone in the Canadian woods in the winter of 1636. Historian Emma Anderson has pieced together his life story from several sources in The Betryal of Faith: The Tragic Journey of a Colonial Convert (Harvard University Press, 2007).
A couple other scholarly works on Native Americans who travelled to Europe include Alden Vaughan's Transatlantic Encounters: American Indians in Britain, 1500-1776 (Cambridge University Press, 2006) and several essays in Christian Feest's Indians and Europe: An Interdisciplinary Collection of Essays (University of Nebraska Press, 1999).
/u/gargatua13013 gives an good earlier example, but this immediately came to mind...
Pocahontas was taken to England in 1616. The Virginia Co helped in sending her there with the intention of promoting further settlement in their colony. It was an attempt to show Europeans that the "savages" weren't all that savage and that they could in fact be religiously converted.
She was certainly seen as a curiosity in England, though from everything I've read she was well received there. She even had the opportunity to meet the King and Queen. She didn't think too highly of King James, but was said to have been impressed by the queen.
hi. you may be interested in these earlier posts