The connection of a capacitor to a three-phase motor for single-phase operation is called a Steinmetz connection. If you search "Steinmetz connection" you will quite a bit of information about that.
If the motor has only six leads or terminals available for external connections, it can only be operated at 380 volts at either of the two speeds indicated. For low speed, U4, V4 and W4 are connected together and three-phase power is connected to U2, V2 and W2. For high-speed operation, there is no connection to U2, T2 and W2, and power is connected to Uw, T4 and W4. The mechanical power rating is the same for both speeds, so the torque available at the high speed is half of the low speed torque. You could use a variable frequency drive (VFD) with 380 volt output for either of those connections.
If each end of each winding is available independent external connection, 12-leads or terminals, the windings could possibly be connected in a parallel delta configuration. That should be suitable for 220 volt, 3-phase power. I believe that would still be the 4-pole, low-speed configuration. You could use a VFD with 220 volt output for that connection.
You should have no problem finding a VFD with 220 volt, single phase input and 220 volt, three-phase output. You might be able to find a VFD with a built-in voltage boost circuit to give 380 volt, three-phase output with 220 volt, single-phase input. Otherwise you would need an input transformer for the VFD and a 380 volt VFD that accepts single-phase input.
I don't know what all the options are with a Steinmetz connection.
Unless the existing motor has a special shaft or a gear mounted directly to it. The best option may be to buy a different motor and perhaps a VFD for speed control.
See diagram below:
For U2, V2 and W2, two motor coils are connected together inside the motor or in the motor terminal box. If you can break that connection, you can reconnect the coils as shown by the red lines. I am pretty sure that will allow the motor to run at the high speed on 220 volts. For single phase, connect a capacitor from one of the power lines to the point where the missing phase would be connected. That allows the motor to run on single-phase, but the torque capability is greatly reduced. This is the Steinmetz connection. You should be able to find capacitor values and other information by searching "Steinmetz connection."