As you can see from the chart, most money market rates have remained below the ECB’s deposit facility rate, sometimes by a substantial margin. Some of these divergences are transitory and have no broader implications for monetary policy. Regulatory “window-dressing”, for example, causes repo rates to decline on balance sheet reporting dates, but they typically bounce back quickly.
You can see this clearly at year-ends, in particular in December 2016. Other divergences, however, have proved more permanent and have sometimes been rising with the level of excess liquidity.