Natively, atomic and molecular processes develop on a subfemtosecond timescale. In order to, for instance, track and capture the electron motion in that scale we need suitable "probes."Attosecond pulses configure the most appropriate tools for such a purpose. These ultrashort bursts of light are generated when a strong laser field interacts with matter and high-order harmonics of the driving source are produced. In this work, we propose a way to twist attosecond pulse trains. In our scheme, each of the attosecond pulses in the train has a well-defined linear polarization, but with a different polarization angle between them. To achieve this goal, we consider an infrared pulse with a particular polarization state, called amplitude polarization. This kind of pulse was experimentally synthesized in previous works. Our twisted attosecond pulse train is then obtained by nonlinear driving an atomic system with that laser source, through the phenomenon of high-order harmonics generation. We achieve a considerable level of control over the modulation of the linear polarization state between two consecutive ultrashort bursts of extreme ultraviolet (XUV) radiation. Through quantum-mechanical simulations, supplemented with signal processing tools, we are able to dissect the underlying physics of the generation process. We are confident these polarized-sculpted XUV sources will play an instrumental role in future pump-probe-based experiments.