Chong has been on United’s radar for a number of months after impressing with Feyenoord.
While Bohui impressed at Brentford last season, and was the academy's top scorer last term.
The two youngsters are both available to face Derby on Saturday.
Elsewhere Juan Mata is reportedly now set to stay at United beyond the current transfer window.
Mata has been heavily linked with a move away from Old Trafford this summer following the arrival of Jose Mourinho.
GETTY
Juan Mata is now set to stay at Man United this summer
He was substituted in Sunday's Community Shield win over Leicester just 27 minutes after coming on, fuelling speculation that he could be on his way.
But Sky Sports claim he is now set to stay and still has a role to play under Mourinho.
Andy Cole is delighted Paul Pogba has rejoined United in a £90million move.
Invalid email
We use your sign-up to provide content in ways you've consented to and to improve our understanding of you. This may include adverts from us and 3rd parties based on our understanding. You can unsubscribe at any time. Read our Privacy Policy
"I love his [Pogba's] energy," Cole told United's official website. "He has great energy in midfield.
"Watching him as a youngster at United and more so at Juventus, you can see he gets up and down the football pitch.
"He creates goals and he got himself a few goals last season. He always wants to be involved and on the ball."