In a bain marie (or small pan over a bigger pan of simmering water) melt 1 of the eggs along with a tablespoon of golden syrup. No you don't need the extra sweetness but it will help the egg to melt fully.
Chop the other 2 eggs into quarters and layer them up with the ice cream and strawberries.
Drizzle the melted egg over the top of the sundae and serve.