A multi-stage filtration apparatus (100) for heterogeneous food admixtures comprises supply means (I1) for introducing a input heterogeneous admixture (All) being introduced to the multi-stage filtration apparatus (100), a pre-filtration station (M1) which is intended to receive the input heterogeneous admixture (All) being introduced and to separate it into a first admixture portion (Filtr1) and a residual solid admixture portion (Sol1), a filtration station (M2) comprising at least one tangential filter (F1) which is provided to separate from the first admixture portion (Filtr1) a concentrated suspension portion (Concentrata) and a final filtered portion (Finale), at least one supply device (I2) which is provided to circulate the first admixture portion (Filtr1) in the filtration station (M2). The pre-filtration station (M1) comprises at least one vibrating sieve (V1) in order to separate the heterogeneous admixture (All).