Jags striker Mark McGuigan has already had a successful spell with the Irn-Bru Second Division side and boss Jackie McNamara has now sent two more of his colts to Coatbridge.
Striker Elliot will stay at Cliftonhill until December 21 while midfielder Halsman has signed until January 6.
Rovers face Stranraer in Second Division action this weekend and boss Todd Lumsden said: "We want to take points from the teams around us and that hasn't happened recently unfortunately.
"At the end of the day, it is only three points but if we can take points from Stranraer then that certainly helps things.
"We have to stay focused, we have dropped a lot of points where we could have taken them.
"We have to try and be a bit more resilient and hopefully we can get more points on the board."