  Lifting problem for universal quadratic forms asks for totally real number
fields $K$ that admit a positive definite quadratic form with coefficients in
$\mathbb{Z}$ that is universal over the ring of integers of $K$. In this paper,
we show that $K=\mathbb{Q}(\zeta_7+\zeta_7^{-1})$ is the only such totally real
cubic field. Moreover, we show that there is no such biquadratic field.
