I'm not sure where all the Brazilians are today - there are usually plenty around. If this helps, I remember learning the word 'cunha' for a little mat that you'd put under a drink. I also remember being told that the same word meant 'influence' ie if someone you knew helped you to get a job or similar.

Em português europeu dizemos "bases para copos", "bases para copos em papel" (enganei-me e respondi no sítio errado, mas não consigo apagar)

Apoio para copo Apoio de papel para copo