We describe a novel process of laser-assisted fabrication of surface structures on doped oxide glasses with heights
reaching 10 - 13% of the glass thickness. This effect manifests itself as a swelling of the irradiated portion of the glass,
and occurs in a wide range of glass compositions. The extent of such swelling depends on the glass base composition.
Doping with Fe, Ti, Co, Ce, and other transition metals allows for adjusting the absorption of the glass and maximizing
the feature size. In the case of bumps grown on borosilicate glasses, we observe reversible glass swelling and the bump
height can increase or decrease depending on whether the consecutive laser pulse has higher or lower energy compared
with the previous one. To understand the hypothetical mechanism, which includes laser heating of glass, glass melting,
and directional flow, we explored density, refractive index, fictive temperature, and phase separation dynamics.