I wouldn't say that currently there's a conflict between Israel and Lebanon, but Hezbollah is in Lebanon and has a lot of power there. They've been launching rockets at Israel and Israel has been killing their higher ups and targetting their ammo.

Depending on how you look at this, you can even call it a proxy war as Hezbollah is supported by Iran. Curiously (or not), one of those injured by the pagers blowing up was the Iranian ambassador... https://www.reuters.com/world/middle-east/irans-ambassador-l...