You mentioned trying to buy in Madrid, what's your planned route? Are you intending to stay mainly within Spain?

What's your time schedule? The weather in Spain from now until mid September (at least) is not conducive to bike riding in the middle of the day. Last week it was 40.6ºC here at 1,000m in the mountains.

And unfortunately motorbike hire tends to be more expensive than car rental...

Update:

I ended up going with a rental from Sidecar32 - Moto & Scooter Rental they are out of Faros Portugal. I'm renting an MT-03 for ~33€ per day.
I didn't find anything in Madrid for nearly as cheap but I did come across quite a few in the 50€-60€ range (larger bikes).


Below are some of the places I recieved quotes from which are worth mentioning:

Trafach Rent | Alquiler de motos
They are out of Girona but they have a 300km/day limit I didn't want to worry about.

AdMo-Tours Motorcycle Rental in Spain - Barcelona, Fuerteventura, Madrid, Malaga, and Seville
AdMo rentals have stations around the world, including Madrid. The best rate I found was out of Cascais Portugal.

Happy Rider Motorcycles | Rent, Buy-Back, Shipping Out of Madrid, They offer buybacks but didn't have any available, decent rates on rentals.

https://www.yamaha-rent.es/ Rent some really nice bikes for decent prices, only for use in Spain so no good for me.

My planned route shifted a little since I will now be starting in Portugal and I was originally planning on riding there at the end. After Portugal, I'll do northern Spain, go through the mountains into France. Ride France along the Mediterranean. Then I'll go down the west coast of Italy, and ferry into Greece. I'm planning on hugging the coast or mountains to keep cool.

Thanks for sharing the useful info. Safe riding. Dm

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Delighted you are now sorted. Let us know how you get on.

It's likely to be hot, so one thing I often do is to completely (and I mean completely) soak my riding gear in water several times a day to get the refrigerator effect when riding.

I hope your trip goes well and thanks for the sidecar 32 link, that's a excellent price. Please report back how it goes.