Mr Adamson, 30, was found with fatal stab injuries to his neck in Cardington Avenue just after 9pm on Sunday.
Shaun Bent, of Cardington Avenue, was charged on Wednesday night with murder and appeared at Birmingham Magistrates Court on Thursday.
He also faces charges of assaulting another person and possession of a bladed article, plus grievous bodily harm and knife possession relating to a separate incident in March.
The 24-year-old was remanded in custody and was due to appear via video link at Birmingham Crown Court today.
Mr Adamson's family have paid tribute to a "one-of-a-kind" man.
In a statement, they said: "It is with heavy hearts and sheer disbelief that Reece was stolen from us on Father’s Day.
“He was a doting partner, father to his daughter, loving son and grandson.
“He was extremely loyal and one-of-a-kind. He was from an unbreakable family network underpinned by mum, dad and his grandfather Fr Deson.
"We will not forget his infectious laugh and are broken beyond belief.”
'Stolen from us aged 30'
A Go Fund Me page has been set up to raise up to £10,000 to support Mr Adamson's daughter, two-year-old Amory. It had raised more than £400 by Friday morning.
The page states: "It's with heavy hearts and in sheer disbelief that we as a family are writing this. At the young age of just 30 years old, Reece's impact on this earth was phenomenal. Tragically, on Father's Day, he was stolen from us.
"He leaves behind his two-year-old daughter, Amory, who he absolutely adored. Words can't begin to describe the type of love he had for her. He doted on her, she wanted for nothing and was permanently attached to his side.
"His love was above and beyond that of a father. She will never be able to comprehend what has happened to her Daddy. He can no longer pick her up from nursery or tuck her into bed. Amory now has to endure the pain of a single parent household. Birthdays, holidays and life itself just won't be the same.
"It is difficult to articulate the emptiness each of us are now left with. Reece's upbringing shaped the beautiful character that he grew into, he was well loved and supported growing up by an unbreakable family network underpinned by mom, dad and his grandad Fr Deson.
"Like many of you who will have known Reece, it is impossible to think about him without being overwhelmed with memories of his infectious laugh. He truly was one of a kind. He would go to the end of the world for those that he loved and nothing was ever too much to ask, admittedly his "10 minutes" would be a few hours, but he would never let you down.
"The damage is irreparable, we are broken beyond belief.
"The donations will help to support Amory's future. Whether your contribution is big or small, we are grateful. Although we can't reply to you all individually, we genuinely appreciate the messages of support and the memories you are sharing, they help us to smile through the tears."
Detective Inspector Jim Colclough, from West Midlands Police's homicide team, said: “My thoughts are with Reece’s family and friends at this incredibly upsetting and difficult time.
“We would still like to hear from anyone who has any information on what happened on Sunday night that led to Reece losing his life.
“We understand there may have been an incident earlier that evening on Newbury Road near to Alma Street involving the same people and we would still like to speak to anyone who noticed anything suspicious or who has any dash-cam footage of a fight."
Anyone with information is urged to call West Midlands Police on 101, quoting crime number 20BW/143529D/20.
Alternatively, contact Crimestoppers anonymously on 0800 555111 or at crimestoppers-uk.org
To donate to the Go Fund Me page, visit www.gofundme.com/f/support-for-the-family-of-reece-desonadamson.