Move inside; do a long time
込む attaches to a verb stem to indicate moving inward or doing something thoroughly for a long time.
込む is a helper verb that follows another verb's ます-stem. It has two main uses: one is to show that something physically moves into a space, like 押し込む (push into) or 飛び込む (jump into). The other is to show that an action is done completely or goes on for a long time, like 話し込む (talk for a long time) or 考え込む (be deep in thought). The nuance is often that the action reaches a certain intensity or extent. This pattern is common in everyday conversation, but the resulting compound word is treated as a single verb, so you conjugate it normally (e.g., 話し込んだ, 話し込んで).