Restoring a Deleted Power BI Report

There is a table "Catalog" in Report Server database which stores information of all the items stored in PBIRS.

- Check there and see if Report is available or not. 

- If not available then try to see if you have previously stored a database which has information of that report, and try to restore it and re-implement Encryption keys to the database again.

- If still not available then you can see if you can recover data from Transactions Logs.

Use ReportServer

GO
Select [Current LSN] , [Transaction ID], Operation, Context, AllocUnitName As TableName
FROM
fn_dblog(NULL, NULL)
WHERE Operation = 'LOP_DELETE_ROWS'

SELECT
[Current LSN], Operation, [Transaction ID], [Begin Time], [Transaction Name], [Transaction SID]
FROM
fn_dblog(NULL, NULL)
WHERE
[Transaction ID] = '0000:0020b15f' -- Transaction id from previous table.
AND
[Operation] = 'LOP_BEGIN_XACT'

Ref:

Right Way to Recover Deleted Records in SQL Server 2016, 2014, 2012 (data-recovery-solutions.com)