A man facing an attempted murder charge after allegedly breaking into a Brisbane man's home and stabbing him will remain in custody.

Marcus Justin Richardson, 34, was arrested on Friday following a three-day manhunt, after he allegedly stabbed the 20-year-old man in the neck, hands and upper body in Taringa.

Richardson appeared in Brisbane Magistrates Court on Saturday and did not apply for bail.

The matter has been adjourned to June 4 for further mention.

Richardson allegedly forced his way into the home on Todd St in the city's inner-west on May 1 and confronted the man and a woman, who were sleeping, before he stabbed the man during an altercation.

It is believed Richardson was known to the pair, police said.

The woman was uninjured, while the man was treated for non-life threatening injuries.

Richardson faces one count each of attempted murder, entering a dwelling with intent and possession of a knife, and two counts of assaulting police.

He fled the home after the attack on foot and was spotted nearby by a resident that morning, with police releasing his image to assist the search.

He was arrested on Friday and appeared agitated in court, crossing his arms during the entire appearance.