A woman charged with murder over an alleged hit-and-run incident in Jerilderie is fighting police attempts to bring her back to NSW to face the allegations.

Mark Akers' severely injured body was found on the side of the Newell Highway, 11 kilometres south of Jerilderie, on June 17.

The highway was closed between Jerilderie and Finley for several hours while police investigated the suspicious incident.

Police believed the 44-year-old had been with a woman before his death and was hit by a vehicle.

He was last seen alive at a service station on Southey Street in Jerilderie about 2.30am on June 16.

Investigators launched Strike Force Zaventem and sought information about the pair and witnesses who had seen Mr Akers' distinctive black Toyota LandCruiser.

An arrest warrant for Lisa Anne Silson was issued on a charge of domestic violence-related murder in Deniliquin Local Court on 21 July.

Albury police then issued an appeal to locate Silson, 40, as part of a Warrant Wednesday appeal more than a week ago, in a post that has since been removed.

Silson was arrested in the Melbourne region last week and then faced a magistrates' court.

She has fought the police application to bring her from Victoria to NSW to face the murder charge.

The matter was listed in the Victorian Supreme Court on Thursday, 31 July, following an urgent Charter of Human Rights application from Silson lodged after her arrest.

Silson says she faces a risk to her life or a serious risk to her health.

The Supreme Court was asked to determine if the lower court had the power to grant bail.

Thursday's legal moves in Melbourne came on the same day as a funeral was held for the late 44-year-old man.

Mr Akers was farewelled at the Traditional Funeral Home at Burpengary, north of Brisbane.

Mr Akers lived in Queensland and had been travelling from Brisbane to Melbourne at the time of his death.

Silson's case has returned to the Melbourne Magistrates' Court, and is again listed for today August 1.

Silson also faces matters in Dandenong and Bacchus Marsh courts in August and October.