  The generation and control of quantum correlations in high-dimensional
systems is a major challenge in the present landscape of quantum technologies.
Achieving such non-classical high-dimensional resources will potentially unlock
enhanced capabilities for quantum cryptography, communication and computation.
We propose a protocol that is able to attain entangled states of
$d$-dimensional systems through a quantum-walk-based {\it transfer \&
accumulate} mechanism involving coin and walker degrees of freedom. The choice
of investigating quantum walks is motivated by their generality and
versatility, complemented by their successful implementation in several
physical systems. Hence, given the cross-cutting role of quantum walks across
quantum information, our protocol potentially represents a versatile general
tool to control high-dimensional entanglement generation in various
experimental platforms. In particular, we illustrate a possible photonic
implementation where the information is encoded in the orbital angular momentum
and polarization degrees of freedom of single photons.
