The company contacted agencies two weeks ago with a through-the-line brief to cover 22 markets across Europe. It is understood that the brief does not affect the accounts currently handled by Wieden & Kennedy London and Mcgarrybowen.
W&K created an ad in February to promote the Civic featuring Team GB climber Imogen Horrocks. The agency also works on the Jazz model.
In 2015, Mcgarrybowen created a spot for the HR-V that showed dancers in a synchronised routine.
Honda appointed DigitasLBi as its pan-European content agency of record in 2016, involving all models.
A Honda spokesman said: "We have no comment to make regarding any pitch process, but we look forward to continuing our long and fruitful relationship with W&K and Mcgarrybowen in 2018."