Step 1: Understanding IUPAC naming.
The IUPAC name is determined by the ligands in alphabetical order and their number in the complex. The correct name for \( [Ni(PPh₃)_2Cl₂]^{2+} \) is "dichloro bis (triphenylphosphine) nickel (II)."
Step 2: Conclusion.
Thus, the correct IUPAC name is option (B).
Final Answer:
\[
\boxed{\text{(B) dichloro bis (triphenylphosphine) nickel (II)}}
\]