Place peaches, sugar, vanilla paste and water into the Thermomix bowl and chop 5 seconds/speed 7.
Cook 5 minutes/100°C/speed 1.
Blend 10 seconds/speed 8.
Cool and refrigerate for several hours until completely cold.
Strain out solids using a nut-milk bag or fine sieve.
Add lemon juice to the peach syrup and serve with sparkling water and ice to taste.