A method of fabricating laminate assemblies determines the ideal weight (W) of underfill to be dispensed, based on the size of the semiconductor die and the gap between the die and the laminate substrate. Underfill is dispensed in a single step in an amount between 1.1W and 1.3W to form fillets that cover at least 15% of the height of the semiconductor die on all four sides of the die. The amount of underfill ensures that the fillet coverage imbalance is 30% or less for each of the pairs of opposing sides of the die, thereby improving solder joint reliability.