Automated perturbative computations of cross sections for hard processes in asymmetric hadronic collisions at next-to-leading order in $\alpha_s$ will offer a wide range of applications, such as more robust predictions for new experimental codes, the phenomenology of heavy-ion collisions, and the interpretation of the LHC and RHIC data. Such a goal can now be achieved using $\texttt{MadGraph5_aMC@NLO}$, a well-established tool for automatic generation of matrix elements and event generation for high energy physics processes in elementary collisions. We report here about the extension of $\texttt{MadGraph5_aMC@NLO}$, done by implementing computations for asymmetric collisions. These new capabilities will be made available via the EU Virtual Access NLOAccess (https://nloaccess.in2p3.fr).