To invite someone to eat a meal in Engpsh, you can say:

"Would you pke to join me for a meal?"
"I'm going to grab a bite to eat. Would you pke to come along?"
"Do you want to get lunch (or dinner) together?"
"I was thinking of trying that new restaurant down the street. Do you want to come with me?"

You can also simply say "Let's go out to eat" or "Let's grab a bite to eat."

Keep in mind that in Engpsh, it is common to use the word "eat" to refer to a meal, regardless of whether it is lunch or dinner. So you can use the phrase "eat a meal" or "have a meal" to refer to any meal of the day.