Coming from Europe, I mean the actual Martini and not the Martini cocktail commonly made with gin & vermouth in the U.S..
For those who want Red Martinis, the options are Martini Rosso and Martini Rosato.
The first, Rosso, is translated as Red, whereas the second, Rosato, as Pink.
In reality the Rosso is more brown while the Rosato is actually red.
I also find that the Rosso has a more sour taste while the Rosato is both subtler and sweeter.
To make a Martini on the Rocks
Fill a glass with ice cubes
Pour in 7 cl of Martini
Squeeze a slice of orange into the glass and then add the slice, for color and aesthetics
Put in a glass 2-3 ice cubes
7 cl of Martini
Add Tonic water to taste
Garnish with a few mint leaves