Both players have been regular starters for the Easter Road side so far this year and head coach Jack Ross is keen to hold on to the influential duo.
Speaking ahead of his team's home match against Celtic on Saturday Ross said: "Ofir and Joe have played pretty much every game this season and have performed to a good level.
"So it would be common sense for us to prolong their stay, especially when they are at the peak of their career as well."
Marciano's displays for the Capital club led to him reclaiming the No.1 spot for his country and he was in inspired form as Israel defeated Scotland 1-0 in the Nations League on Wednesday.
Ross is keen for the 31-year-old to put in a similar display when Neil Lennon’s side come to town on Saturday.
Ross continued: “He's been in that form all season. I think our defensive record has been good, the number of clean sheets and the number of goals we've been conceding from open play is not that many and Ofir has played a big part in that."
The Easter Road boss is keen to limit the number of ins and outs in each transfer window.
He added: “Hopefully we can bring an increased stability to our squad and make sure we have a core group that can bring us success."