The purpose of the European project EuPRAXIA is to realize a novel plasma accelerator user facility. The laser driven approach sets requirements for a very high performance level for the laser system: pulse peak power in the petawatt range, pulse repetition rate of several tens of Hz, very high beam quality and overall stability of the system parameters, along with 24/7 operation availability for experiments. Only a few years ago these performances were considered unrealistic, but recent advances in laser technologies, in particular in the chirped pulse amplification (CPA) of ultrashort pulses and in high energy, high repetition rate pump lasers have changed this scenario. This paper discusses the conceptual design and the overall architecture of a laser system operating as the driver of a plasma acceleration facility for different applications. The laser consists of a multi-stage amplification chain based CPA Ti:Sapphire, using frequency doubled, diode laser pumped Nd or Yb solid state lasers as pump sources. Specific aspects related to the cooling strategy of the main amplifiers, the operation of pulse compressors at high average power, and the beam pointing diagnostics are addressed in detail.Laser Accelerator) [4], with an average power output of tens of watts. New systems under realization aim to even higher average power levels, such as HAPLS targeting an output power of 300 W. Nonetheless, to address user-level requirements, the average power of ultrafast lasers needs to increase by one or two orders of magnitude.The purpose of the European project EuPRAXIA [5] is to provide a conceptual design for a compact, user-oriented, plasma accelerator with superior beam quality to enable free electron laser operation in the X-ray range. User requirements for an operational facility imply a significant increase of the laser driver output parameters with respect to systems currently available or under development: pulse peak power in the petawatt range, pulse repetition rate of several tens of Hz, as well as very high beam quality and overall stability of the system parameters.A description of the architecture of the laser driver was already published in previous work [6], describing the main parameters and technical solutions. This paper complements the previous one by recalling the general lines of the system architecture and addressing some specific points that are particularly critical for the system operation at high average power levels. These aspects are related to the amplifier's geometrical layout, the cooling solution to address the operation at high average power levels, and the laser beam transport-related issues.