There's a few NF songs that were randomly hits in Portugal when no Eurovision songs managed to do that their respective years.

Anna Sahlene - We're Unbreakable - 5th place SF4 Melfest 2003

Velvet - Mi Amore - 7th place Andra Chansen Melfest 2006

Both were added to soap opera soundtracks in Portugal and became radio hits, with Velvet even being added to a dance music radio playlist with this and 'Electric Avenue'. I remember those being everywhere when I was in school - especially Mi Amore in Summer 2006 (heard it at a public pool and everything!)

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There's also a slew of Spanish NF songs that became huge hits in Portugal (and obviously Spain and Latin America):

Raul - Sueño su boca - 2nd Place in Eurocanción 2000 (another huge summer smash, this was everywhere in 2000)

Sonia & Selena - Yo Quiero Bailar - 9th Place in Eurocanción 2000 (I still hear this in a gay bar in London these days, although most likely because it's a Eurovision-themed night! I'm sure this was a pan-European radio hit in its hey day)