What can they do now?

[just another ref]

Originally Posted by Nevadaref

There is nothing wrong with purposely relinquishing player control before falling OOB and then returning and either catching the ball or continuing the dribble. It's legal either way. Just watch for a double-dribble (illegal 2nd dribble) violation.

Please review the following plays from the Case Book. They should straighten this out for you.

7.1.1 SITUATION B: A1 blocks a pass near the end line. The ball falls to the
floor inbounds, but A1, who is off balance, steps off the court. A1 returns
inbounds, secures control of the ball and dribbles. RULING: Legal. A1 did not
leave the court voluntarily and did not have control of the ball when he/she did.
This situation is similar to one in which A1 makes a try from under the basket and
momentum carries A1 off the court. If the try is unsuccessful, A1 may come back
onto the court and regain control since A1 did not leave the court voluntarily and
did not have control of the ball when he/she did.
7.1.1 SITUATION C: A1 blocks a pass near the sideline and the ball goes into
A1’s front court. A1’s momentum carries him/her out of bounds. He/she immediately
returns inbounds, secures control of the ball, dribbles, shoots, and scores.
RULING: Legal. (4-35-1a; 7-1-2; 9-3)
7.1.1 SITUATION D: A1 jumps from inbounds to retrieve an errant pass near a
boundary line. A1 catches the ball while in the air and tosses it back to the court.
A1 lands out of bounds and (a) is the first to touch the ball after returning
inbounds; (b) returns inbounds and immediately dribbles the ball; or (c) picks up
the ball after returning to the court and then begins a dribble. RULING: Legal in
(a) and (b). Illegal in (c) as the controlled toss of the ball to the court by A1 constitutes
the start of a dribble, dribbling a second time after picking up the ball is
an illegal dribble violation. (4-15-5; 4-15-6d; 4-35; 9-5)

None of these plays matches the OP, which involves a dribbler in control who subsequently goes out of bounds. It is necessary in this play to determine when the dribble became an interrupted dribble.