Place about 1/4 of the cherries in a blender, process on high until puréed, adding just a bit of water if necessary.

Cut remaining cherries into roughly 4 pieces. Combine with purée and sugar in a medium saucepan.

Bring to a simmer over medium heat and simmer until the mixture is sauce-like. Remove from heat.

Stir in lemon juice to taste and adjust sugar, if necessary.