5-volt tolerant Bluetooth module is not 5-volt tolerant

I am trying to get a Bluetooth module to interface with my 5-volt microprocessor's serial connection. The Bluetooth module (SPBT2632C1A from ST Microsystems) operates at 2.7 volts. The TXD serial output from the Bluetooth module is supposed to be 5-volt tolerant, according to the datasheet. I have tried to pull it up to 5-volts with a 3.3k resistor, but it will not budge above 2.1 volts. This is not high enough to be detected as a logic high by my PIC micro's serial input pin. The serial connection in the other direction is working just fine with a direct connection. I could have designed in a level shifter when I was designing the circuit board, but I thought a pull-up would be sufficient. Any ideas on what "5-volt tolerant TXD" means to ST in this context?

5 volt tolerant means it can TOLERATE 5volts without damage. It doesn't mean you can pullup an output to 5V.

barry said:

5 volt tolerant means it can TOLERATE 5volts without damage. It doesn't mean you can pullup an output to 5V.

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That interpretation makes sense for inputs to the device, but not for outputs. An output from a device is producing the voltage on the pin. It will never produce more than 3-volts if it is a 3-volt device. What else could 5-volt tolerant mean when applied to outputs other than that you can pull it up passively to 5 volts? (The datasheet specifically said both the TXD and the RXD pins are 5-volt tolerant).