The French striker joined SGE in January on-loan from Nottingham Forest with an option to buy.
However, BILD says the set price of €27m is deemed too rich by SGE management.
Kalimuendo has impressed since his arrival, boasting five goals and an assist from 11 starts for Eintracht Frankfurt.
And on purely football grounds, the Bundesliga club would happily deal him in - but not at the current price.
For Forest, Kalimuendo's return would be welcome, as loan manager Owen Coyle Jr recently said: "He has gone over there, he is performing, he is scoring goals… but he is still very positive about his relationship with Forest.
"He talks to the other players regularly. He has been back to watch games.
“He is heavily invested in Forest. He will return in the summer and we will see where his future lies at Forest, within the squad plan.”