Preheat oven to 160 C / 320 F. Grease and line a 22cm (8-inch) cake tin.
Separate the eggs and place the whites in a large bowl. Add salt and beat until the eggs are foamy, about 1-2 minutes.
Add sugar, gradually while beating, and beat until the egg whites form firm swirls.
Add egg yolks and vanilla extract. Beat over low speed until just combined.
Sift in flour. Mix over low speed for 10 seconds. Set aside.
Combine together oil and milk in a medium bowl. Add ¼ cup cake batter and mix until combined.
Pour this mixture into the remaining batter and fold in gently.
Transfer batter into cake pan. Bake for 40-45 minutes or until the cake has shrunk away from the sides slightly and spring back when gently touched.
Turn out onto a wire rack lined with baking paper. Carefully peel away baking paper, then leave to cool completely.
Once cooled, cut the cakes horizontally into two equal halves. Using a cake cutter, trim one slice into 6-inch circle to make a small cake. Set aside.