Can the institution hosting the outgoing phase only receive the living allowances corresponding to their country coefficient through a financial transfer from the institution of the return phase, as it is the only institution entitled to receive the EU money?

Yes, there has to be a transfer of money from the institution of the return phase to the partner hosting the outgoing phase. Partnership agreement should be signed and should define such a transfer. Country correction coefficient (CCC) of the partner hosting the outgoing phase will be applied. The transfer can include not only living allowance but also mobility and family contribution or transfer of institutional contribution.