Is it management discretion whether to enrol an employee in PF even though salary is above PF Limit?

In the hospital where i am working they are enrolling under PF those employees ( this is in case of those employees whose salaries are above PF limit) who have a UAN number and had not withdrawn the PF from their previous employment employment. I had closed my PF with my previous employer and had withdrawn the PF amount. Hence when i joined the hospital, I was told that I am not eligible to enroll in PF as i have already closed my previous account.
I seek clarification on the following:
1. Is there any rule which states that Employees drawing salaries above PF limit can continue with PF in the new establishment provided that they have not closed the previous employer account and withdrawn.
2. Is it compulsory to consider employees for enrollment in PF, whose salary are above PF limit , just because they had PF in their previous employments or at some point of time in their career.
3. Is it management discretion whether to enrol an employee in PF even though salary is above PF Limit?

submit form 11 duly signed with details of old UAN and KYC, the employer will enroll the uan in present establishment,
However if the UAN is closed from the EPF side, then employer can not do