Neteller is a popular online payments system that does not support direct purchases of Bitcoin. You can still buy Bitcoin with Neteller though, and not necessarily on a p2p marketplace like LocalBitcoins or Paxful.
Paybis exchange platform (read review) offers you to convert Neteller funds for a 10.54% commission plus the $0.53 fee for every transaction:
Though the exchange fee is not low the limits for unverified users are pretty high at $1000 weekly without yearly cap: