Romano is a potential witness for the defense.
Prosecutors would like the recorded conversation played during the trial to show Romano broke the judge's rule and shouldn't be allowed to testify for the defense.
While Klapheke’s defense attorneys say the phone conversation should be played in private, prosecutors say they would like it to be played in public.
It could be admitted into court - either publicly or privately - as early as Tuesday.
Prosecutors said Romano, who lives in Kentucky, spoke with Klapheke about unfair news coverage and what she believed Klapheke’s punishment should be down to a specific sentence.
Meanwhile, a cart of evidence was rolled into court Monday, including a small trashcan of dirty diapers, a stained playpen mattress and stained piece of carpet – all from the Klapheke home.
Prosecutors have said Klapheke – before Tamryn’s death – locked the toddler in a room for four days when she found the child dead and called 911.