Near future
Near future is not really a tense. This is why it is not in the verb conjugation. This is more a way to form a sentence.
Near future is built with aller + infinitive. It can express:
- an event which is going to appear soon
- something that you are going to do immediately
- a project or previsions
Examples:
Je vais souffler les bougies.
Il va bientôt arriver.
Les copains vont faire une drôle de tête.
Near past
Near past is like the near future : not really a complete time. It is built with verb venir : venir de + infinitive. It can express an action that has just finished.
Examples:
Je viens d'arriver.
Il vient de mettre la machine à laver.