Perhaps it depends on which European country supplied your Euro passport.
There may well not be a charge for "a visa" but at most of the CA borders you actually do not need a VISA per se.
VISA means a specially stamped page in your passport which you get from their embassy or consulate before you even show up at a border crossing.
The CA countries and Mexico and even the USA (depending on where you now live) will accept your valid passport as adequate proof of citizenship and your good intent as a tourist and will readily issue ,after you complete the forms , a tourist card to let you into the country for a few months stay.
There will be fees associated with getting the tourist card and for temporarily importing your bike or car and for other services rendered at the border such as "fumigacion" ,municipal tourist tax etc. These at each country vary ,some add up to only a few dollars while some may come to a total of around $48 to $50 US DOLLARS at most before you are ready to step into the actual country.
Watch your receipts and the currency required for each payment and do not let yourself be confused by slick operating swindling so-called helpers.
Some borders demand all payment in moneda nacional, some will allow a mix of MN and US Dollars

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http://advrider.com/index.php?thread....207964/page-5 then scroll down to post #93