Multi-string solutions of the string equations of motion are found for inflationary spacetimes with expansion factor for any k < 0 and conformal time. If 0 > k > -1 only two-string solutions can be found within our ansatz, whereas for k = -1 - 1/n, with n=1,2,..., multi-string solutions exist with an infinite number of strings. (In the special case k = -2 we recover de Sitter spacetime where multi-string solutions were first found.)