You can choose:
Online (green dot): available for a chat.
Date (pink dot): let's meet
Now (pink flame): sex now!
Invisible (dotted circle): just for PLUS user. You can browse the website/app without being shown as online. By default you’ll still leave visits but you can always choose to hide them as PLUS user. Keep in mind that your last login time will be shown to profiles who saved you as favorite.
ROMEO Web
You can manage your status by clicking on 'more', next to your profile picture, on the left-hand side of the screen, click the current status icon to the left of your profile picture then choose a status (on smaller screens, the 'more' option is in the bottom-right corner).
ROMEO Android
You can manage your status simply by tapping the sidebar menu icon ☰ » tap your current online status (under your profile pic) » choose the online status you want.
ROMEO iOS
You can manage your status by tapping the gear-wheel icon » tap 'Online status' » choose the status you want.