The witness, Muslim Shaikh, received two phone calls on Sunday night from an unidentified person who asked him to accept Rs five lakh and keep away from the case, a police officer told PTI.
The incident was brought to the notice of the court trying the hit-and-run case, which in turn asked cops to conduct inquiry and submit a report before it on May 19.
However, even after Shaikh disconnected the call, he got another call in which the person repeated the offer, following which Shaikh disconnected the phone call again.
The caller rang him up again but Shaikh did not attend the phone call, the officer added.
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"Preliminary inquiry suggested the unidentified caller could (be) a lawyer," police sources said while refusing to divulge details.
Earlier today, Shaikh and two other witnesses identified Salman Khan saying they had seen him getting down from the car which had met with an accident in suburban Bandra on September 28, 2002.
The court is conducting the re-trial of this case after the charges of culpable homicide were added recently.
One person was killed and four persons injured in the incident after which police booked Salman on the charge of rash and negligent driving, besides other charges.
Recently, an additional charge of culpable homicide not amounting to murder was slapped against the actor.
The charge attracts jail term of ten years.