  The Atacama Large mm-submm Array (ALMA) is, by far, the most sensitive
mm/submm telescope in the World. The ALMA Phasing Project (APP) will allow us
to phase-up all the ALMA antennas and use them as one single VLBI station. This
will be a key component of the Event Horizon Telescope (EHT), a Global VLBI
array at millimeter wavelengths. A problem in the APP is the calibration and
conversion of the polarization channels. Most VLBI stations record their
signals in a circular basis, but the ALMA receivers record in a linear basis.
The strategy that will be followed in the phased-ALMA VLBI observations will be
to correlate in "mixed" basis (i.e., linear versus circular) and convert the
visibilities to a pure circular basis after the correlation. We have developed
an algorithm to perform such a polarization conversion of the VLBI
visibilities. In these proceedings, we present the basics of the PolConvert
algorithm and discuss on the polarization conversion in the general case were
single dishes (besides phased arrays) record with linear receivers in VLBI
observations. We show some results of PolConvert applied to realistic
simulations, as well as a test with real VLBI observations at 86\,GHz between
the Onsala radiotelescope (recording in linear basis) and the Effelsberg
radiotelescope (recording in circular basis).
