  A semiprime is a natural number which is the product of two (not necessarily
distinct) prime numbers. Let $F(x_1, \ldots, x_n)$ be a degree $d$ homogeneous
form with integer coefficients. We provide sufficient conditions, similar to
those of the seminal work of B. J. Birch, for which the equation $F (x_1,
\ldots, x_n) = 0$ has infinitely many integer solutions with semiprime
coordinates. Previously it was known, by a result of \'A. Magyar and T.
Titichetrakun, that under the same hypotheses there exist infinitely many
integer solutions to the equation with coordinates that have at most $384
n^{3/2} d (d+1)$ prime factors.
