Technologies for targeted flow control recovery include a target computing device which detects whether resources of the target computing device are sufficient to process received messages from at least one source computing device and, in response to a determination that the resources are insufficient, (i) drops received message(s) from the affected source computing device(s) and (ii) determines whether to issue a targeted flow control recovery (i.e., at one of the source computing devices) or a global targeted flow control recovery (i.e., at all of the source computing devices) to instruct the source computing device(s) to stop transmitting messages to the target computing device. The target computing device, upon completion of the flow control recovery, atomically enables a table entry for which resources to process the received message(s) have been allocated and transmits a targeted or global resume transmission message to the source computing device(s) to instruct the source computing device to resume transmitting messages to the target computing device.