The two players had tested positive following their return to their hometown in Hai Duong City, just 60km from Hanoi capital, for family reunion.
They are both fine and show no signs of having high temperatures, VFF said in its announcement.
In the latest news, Hoang Duc on January 11 tested negative but he was required to undergo more negative COVID-19 tests before travelling to Hanoi for training with his team mates.
Meanwhile, Van Toan is receiving treatment and is scheduled to have COVID-19 tests in the coming days.
The duo will miss the chance to meet their team mates for training on January 13.
The national squad coached by Park Hang-seo will fly to Australia on January 20 to prepare for their FIFA World Cup 2020 qualifying clash with their hosts slated for January 27.
They will then return to Vietnam for a home match against China on February 1 as part of the third Asian qualifying round of FIFA World Cup 2022.
All members of the national squad have received their booster jab upon returning from AFF Cup 2020 in Singapore.