Can an applicant be employed by the European host for the full Global Fellowship duration and receive the full gross salary directly from the European host but without paying any statutory deductions in the European country during the outgoing phase?

Taxation does not depend on MSCA rules but on national legislation and also on agreements between different countries.

The applicant could ask the EURAXESS centres of related countries for help.

The fellow should also enquire if there is some sort of double taxation system between the countries that prevent or obliges them to pay taxes during the outgoing phase.