  Many of the exotic properties proposed to occur in graphene rely on the
possibility of increasing the spin orbit coupling (SOC). By combining
analytical and numerical tight binding calculations, in this work we study the
SOC induced by heavy adatoms with active electrons living in $p$ orbitals.
Depending on the position of the adatoms on graphene different kinds of SOC
appear. Adatoms located in hollow position induce spin conserving intrinsic
like SOC whereas a random distribution of adatoms induces a spin flipping
Rashba like SOC. The induced SOC is linearly proportional to the adatoms
concentration, indicating the inexistent interference effects between different
adatoms. By computing the Hall conductivity we have proved the stability of the
topological quantum Hall phases created by the adatoms against inhomogeneous
spin orbit coupling . For the case of Pb adatoms, we find that a concentration
of 0.1 adatom per carbon atom generates SOC's of the order of $\sim$40$meV$.
