Break the eggs into a container, add milk and mix well. Pour the resulting mixture into a saucepan and put on the fire. Bring to a boil.
Add kefir into the mixture in a thin stream and cook until curd flakes appear.
Line a colander with cheesecloth. Once the whey is clear and the flakes have settled to the bottom of the pan, drain everything into the colander. Add salt to taste to the resulting mixture.
Squeeze the resulting mass and wrap it in cheesecloth. Place the press on top. Leave the cheese for 10 hours to drain all the excess whey.
Cut the cheese into pieces and serve.