  We consider both the classical and quantum variations of $X$-secure,
$E$-eavesdropped and $T$-colluding symmetric private information retrieval
(SPIR). This is the first work to study SPIR with $X$-security in classical or
quantum variations. We first develop a scheme for classical $X$-secure,
$E$-eavesdropped and $T$-colluding SPIR (XSETSPIR) based on a modified version
of cross subspace alignment (CSA), which achieves a rate of $R= 1 -
\frac{X+\max(T,E)}{N}$. The modified scheme achieves the same rate as the
scheme used for $X$-secure PIR with the extra benefit of symmetric privacy.
Next, we extend this scheme to its quantum counterpart based on the $N$-sum box
abstraction. This is the first work to consider the presence of eavesdroppers
in quantum private information retrieval (QPIR). In the quantum variation, the
eavesdroppers have better access to information over the quantum channel
compared to the classical channel due to the over-the-air decodability. To that
end, we develop another scheme specialized to combat eavesdroppers over quantum
channels. The scheme proposed for $X$-secure, $E$-eavesdropped and
$T$-colluding quantum SPIR (XSETQSPIR) in this work maintains the super-dense
coding gain from the shared entanglement between the databases, i.e., achieves
a rate of $R_Q = \min\left\{ 1, 2\left(1-\frac{X+\max(T,E)}{N}\right)\right\}$.
