  We discuss the recent progress in extracting partonic functions from the
quasi-distribution approach, using twisted mass fermions. This concerns, among
others, the investigation of several sources of systematic effects. Their
careful analysis is a prerequisite to obtain precise determinations of PDFs
from the lattice with realistic estimates of all uncertainties. In these
proceedings, we shortly discuss systematic effects in the matching procedure.
Moreover, we present preliminary results from our new simulations at the
physical point. They involve, additionally, the dynamical strange and charm
quarks, as well as a larger volume and a smaller lattice spacing than in our
previous computations. In addition, we show first results from computations of
generalized parton distributions (GPDs) in the quasi-distribution framework.
