The case was dropped at the request of prosecutors.
Varlamov, 25, was charged in October with felony kidnapping and assault after Denver police said he attacked his girlfriend in their apartment. A judge in November dismissed the kidnapping count for lack of evidence.
A motion to dismiss the remaining misdemeanour assault charge was filed by the district attorney's office on Friday because prosecutors did not believe they had sufficient evidence to prove the case in a trial.
Varlamov has a 16-8-1 record with a 2.37 goal-against average this season as the Avalanche's No. 1 goalie.
San Jose Sharks forward Tomas Hertl will miss at least a month because of a left knee injury suffered in Thursday's loss to the Los Angeles Kings.
Hertl had an MRI exam on Friday, and he could be sidelined for more than a month if the results reveal significant damage.
Hertl leads NHL rookies with 15 goals and 25 points in 35 games.
Phoenix Coyotes captain Shane Doan has a form of Rocky Mountain fever disease, according to general manager Don Maloney.
Doan is on injured reserve and is considered week-to-week.
He is still on medication.
According to the Mayo Clinic, Rocky Mountain fever is a bacterial disease that affects the cells in the lining of blood vessels.
Defenseman Pavel Kubina has announced his retirement after a 14-year NHL career.
Kubina helped the Tampa Bay Lightning win the Stanley Cup in 2004. He last played in the league in the 2011-12 season with the Lightning and Philadelphia Flyers, and spent part of last season in the Swiss-A league.