Does QA Complete to JIRA Integration allow syntonisation of test cases and tets runs as well ?

We are using QA Complete in our organization and we are planning to integrate our JIRA with QA Complete.

From the material we got to know that we can connect QAComplete to JIRA and synchronize JIRA issues with Defects and Requirements in QAComplete.

But wanted to check if we can show the Test cases and test runs/executions from QA Complete on JIRA as well ?

Other test management tools like qTest, ALM support the syncing of Test cases and test runs/executions with JIRA and we can easily see the Test cases and test runs/executions for that specific JIRA story on the JIRA application.