A multistep process comprising the following steps: step a) polymerizing
propylene and optionally one or more monomers selected from ethylene or
alpha olefins of formula CH.sub.2.dbd.CHT.sup.1 wherein T.sup.1 is a
C.sub.2-C.sub.10 alkyl radical in the presence of a catalyst system
supported on an inert carrier, comprising: ii) one or more metallocene
compounds of formula (I): ##STR00001## ii) an alumoxane or a
compound capable of forming an alkyl metallocene cation; and optionally
iii) an organo aluminum compound; step b) contacting, under
polymerization conditions, in a gas phase, propylene or ethylene with one
or more alpha olefins of formula CH.sub.2.dbd.CHT, wherein T is hydrogen
or a C.sub.1-C.sub.10 alkyl radical, and optionally a non-conjugated
diene, in the presence of the polymer obtained in step a) and optionally
in the presence of an additional organo aluminum compound; provided that
an homopolymer is not produced; wherein: the compound of formula (I) is
described in the application.