Hi,
As per the law at the time of registration under PF itself, there is one UAN number which is allotted to you. That is a Unique number given against the PAN of every individual applying.
In such case, there cannot be two registrations that can be done. Secondly, to claim the benefits of PF contribution with two or more companies, you will have to share the same UAN number with the other company also where in they can record the contribution.
Hence both the companies can extend you the benefits of PF but on the same PF account.
Thanks
Damini