Ivory Coast Under-23 international striker Zoko and teenage Burnley defender Long have been training with the Cumbrians over the summer while Sunderland defender M'Voto has been with the Cumbrians since featuring in the recent friendly defeat to Newcastle.
Abbott said: "It's now a case of sitting down and talking with the respective parties to decide what we all want to do next.
"With Kevin Long we've had to wait to talk to the people at Burnley as they have been away in Singapore, as is the case with Jean-Yves M'Voto and Sunderland, who have been in Portugal for the last week.
"Now that they're back I'll take the time to talk to Steve (Bruce) and Brian (Laws), swap opinions and see what we want to do next with each respective player.
"We've spoken to Zoko's agent and it's a work in progress. We'd like to keep him a bit longer but we're not sure if that will be something like a six or 12-month deal at the moment. He's done really well since coming in and looks like he can give us something different to what we already have."