~とすぐに (as soon as)

As soon as she saw me, she ran off.

The moment she saw me, she burst into tears.

As soon as she got her paycheck, she spent the whole thing.

As soon as the idea came to her, she put it into action.

As soon as he got off the train, he was met by his cousin.

As soon as the mail carrier arrives, he hurries out to collect the mail.

As soon as the call connected, she started talking.

As soon as she saw me, she started running toward me.

As soon as she spotted me, she started running toward me.