  The observation of gravitational waves from LIGO and Virgo detectors inferred
the mergers rates to be $23.9^{+14.9}_{-8.6}$ Gpc$^{-3}$ yr$^{-1}$ for binary
black holes and $320^{+490}_{-240}$ Gpc$^{-3}$ yr$^{-1}$ for binary neutron
stars. These rates suggest that there is a significant chance that two or more
of these signals will overlap with each other during their lifetime in the
sensitivity-band of future gravitational-wave detectors such as the Cosmic
Explorer and Einstein Telescope. The detection pipelines provide the
coalescence time of each signal with an accuracy $\mathcal{O}(10\,\rm ms)$. We
show that using the information of the coalescence time, it is possible to
correctly infer the properties of these "overlapping signals" with the current
data-analysis infrastructure. Studying different configurations of the signals,
we conclude that the inference is robust provided that the two signals are not
coalescing within less than $\sim 1-2\,\mathrm{s}$. Signals whose coalescence
epochs lie within $\sim 0.5\,\rm s$ of each other suffer from significant
biases in parameter inference, and new strategies and algorithms are required
to overcome such biases.
