I see people are still posting on here
Well having read through the pages that I missed overnight, I have to agree with some of them that it makes no sense that Minato, who was known for his sealing jutsu, wouldn't have a D or C-rank seal to seal up Deidara besides Dead Demon.
However, if we assume that he does not have simple sealing techniques that fodder ninja are shown to have in the manga (

) then he would just have to bring along some pre-made sealing tags made by someone else.
Then all he has to do is get Deidara with the tag. And as discussed before, he could do this at the very beginning of the battle and end it quickly OR if Deidara somehow manages to get on his flying bird while Minato sits by and watches then he'd have to throw a kunai, FTG, catch and throw Kunai, FTG, etc to get to him.
Or better yet - just summon some toads for some long range attacks to get Deidara off the bird.
If the bird blows? teleport away, then teleport back and seal Deidara as he regenerates
FTG is so HAX xd
This is the only thing Deidara has got on him - agreed. However I don't think Minato would let the battle progress that far. But yea, if he did this he'd get minato because Minato has no way of seeing the nano bombs.